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106006601352 = 23319733184529
BaseRepresentation
bin110001010111001111…
…1000101111010001000
3101010121210010022021110
41202232133011322020
53214100142220402
6120410533210320
710441641146541
oct1425637057210
9333553108243
10106006601352
1140a58a65653
12186654909a0
139cc507a122
1451b8aab4c8
152b5672856c
hex18ae7c5e88

106006601352 has 64 divisors (see below), whose sum is σ = 282786264000. Its totient is φ = 33017186304.

The previous prime is 106006601347. The next prime is 106006601353. The reversal of 106006601352 is 253106600601.

It is a super-2 number, since 2×1060066013522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106006601353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1558977 + ... + 1625552.

It is an arithmetic number, because the mean of its divisors is an integer number (4418535375).

Almost surely, 2106006601352 is an apocalyptic number.

106006601352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106006601352 is an abundant number, since it is smaller than the sum of its proper divisors (176779662648).

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

106006601352 is a wasteful number, since it uses less digits than its factorization.

106006601352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184630 (or 3184626 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 106006601352 in words is "one hundred six billion, six million, six hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 73 76 114 146 152 219 228 292 438 456 584 876 1387 1752 2774 4161 5548 8322 11096 16644 33288 3184529 6369058 9553587 12738116 19107174 25476232 38214348 60506051 76428696 121012102 181518153 232470617 242024204 363036306 464941234 484048408 697411851 726072612 929882468 1394823702 1452145224 1859764936 2789647404 4416941723 5579294808 8833883446 13250825169 17667766892 26501650338 35335533784 53003300676 106006601352