106100656656 has 40 divisors (see below), whose sum is σ = 275932934400. Its totient is φ = 35129521536.

The previous prime is 106100656643. The next prime is 106100656681. The reversal of 106100656656 is 656656001601.

It is a super-2 number, since 2×106100656656² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7410400 + ... + 7424703.

It is an arithmetic number, because the mean of its divisors is an integer number (6898323360).

Almost surely, 2^106100656656 is an apocalyptic number.

106100656656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106100656656 is an abundant number, since it is smaller than the sum of its proper divisors (169832277744).

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

106100656656 is a wasteful number, since it uses less digits than its factorization.

106100656656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14835263 (or 14835257 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 106100656656 in words is "one hundred six billion, one hundred million, six hundred fifty-six thousand, six hundred fifty-six".