105655166496 has 72 divisors (see below), whose sum is σ = 327771151344. Its totient is φ = 32016716160.

The previous prime is 105655166437. The next prime is 105655166497. The reversal of 105655166496 is 694661556501.

105655166496 is a `hidden beast` number, since 1 + 0 + 5 + 65 + 516 + 64 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105655166496² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105655166497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16672206 + ... + 16678541.

It is an arithmetic number, because the mean of its divisors is an integer number (4552377102).

Almost surely, 2^105655166496 is an apocalyptic number.

105655166496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105655166496 is an abundant number, since it is smaller than the sum of its proper divisors (222115984848).

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

105655166496 is a wasteful number, since it uses less digits than its factorization.

105655166496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33350774 (or 33350763 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 105655166496 in words is "one hundred five billion, six hundred fifty-five million, one hundred sixty-six thousand, four hundred ninety-six".