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106523102040 = 23354139235519
BaseRepresentation
bin110001100110101000…
…1011000101101011000
3101011221210000021000120
41203031101120231120
53221124403231130
6120534103433240
710460512266465
oct1431521305530
9334853007016
10106523102040
11411a3572223
121878a455820
13a07808b934
14522751a66c
152b86c50910
hex18cd458b58

106523102040 has 128 divisors (see below), whose sum is σ = 327506457600. Its totient is φ = 27701242880.

The previous prime is 106523102033. The next prime is 106523102071. The reversal of 106523102040 is 40201325601.

It is a super-2 number, since 2×1065231020402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106523102040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19298401 + ... + 19303919.

It is an arithmetic number, because the mean of its divisors is an integer number (2558644200).

Almost surely, 2106523102040 is an apocalyptic number.

106523102040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106523102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163753228800).

106523102040 is an abundant number, since it is smaller than the sum of its proper divisors (220983355560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106523102040 is a wasteful number, since it uses less digits than its factorization.

106523102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9493 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 106523102040 its reverse (40201325601), we get a palindrome (146724427641).

The spelling of 106523102040 in words is "one hundred six billion, five hundred twenty-three million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 3923 4920 5519 7846 11038 11769 15692 16557 19615 22076 23538 27595 31384 33114 39230 44152 47076 55190 58845 66228 78460 82785 94152 110380 117690 132456 156920 160843 165570 220760 226279 235380 321686 331140 452558 470760 482529 643372 662280 678837 804215 905116 965058 1131395 1286744 1357674 1608430 1810232 1930116 2262790 2412645 2715348 3216860 3394185 3860232 4525580 4825290 5430696 6433720 6788370 9051160 9650580 13576740 19301160 21651037 27153480 43302074 64953111 86604148 108255185 129906222 173208296 216510370 259812444 324765555 433020740 519624888 649531110 866041480 887692517 1299062220 1775385034 2598124440 2663077551 3550770068 4438462585 5326155102 7101540136 8876925170 10652310204 13315387755 17753850340 21304620408 26630775510 35507700680 53261551020 106523102040