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106032162360 = 23351137819481
BaseRepresentation
bin110001011000000000…
…0100110011000111000
3101010200120012221101110
41202300000212120320
53214123213143420
6120413245120320
710442401336455
oct1426000463070
9333616187343
10106032162360
1140a71433a53
1218671b590a0
139cca459797
1451bc24282c
152b58ac6ee0
hex18b0026638

106032162360 has 64 divisors (see below), whose sum is σ = 320911541280. Its totient is φ = 28025016320.

The previous prime is 106032162343. The next prime is 106032162377. The reversal of 106032162360 is 63261230601.

It is an interprime number because it is at equal distance from previous prime (106032162343) and next prime (106032162377).

It is a super-2 number, since 2×1060321623602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3896181 + ... + 3923300.

Almost surely, 2106032162360 is an apocalyptic number.

106032162360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106032162360 is an abundant number, since it is smaller than the sum of its proper divisors (214879378920).

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

106032162360 is a wasteful number, since it uses less digits than its factorization.

106032162360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7819608 (or 7819604 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 106032162360 its reverse (63261230601), we get a palindrome (169293392961).

The spelling of 106032162360 in words is "one hundred six billion, thirty-two million, one hundred sixty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 7819481 15638962 23458443 31277924 39097405 46916886 62555848 78194810 93833772 117292215 156389620 187667544 234584430 312779240 469168860 883601353 938337720 1767202706 2650804059 3534405412 4418006765 5301608118 7068810824 8836013530 10603216236 13254020295 17672027060 21206432472 26508040590 35344054120 53016081180 106032162360