105556005600164 has 24 divisors (see below), whose sum is σ = 211253983046400. Its totient is φ = 45207865575936.

The previous prime is 105556005600079. The next prime is 105556005600181. The reversal of 105556005600164 is 461006500655501.

It is a happy number.

It is a super-2 number, since 2×105556005600164² (a number of 29 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, 1267563389 + ... + 1267646660.

It is an arithmetic number, because the mean of its divisors is an integer number (8802249293600).

Almost surely, 2^{105556005600164} is an apocalyptic number.

105556005600164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105556005600164 is an abundant number, since it is smaller than the sum of its proper divisors (105697977446236).

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

105556005600164 is a wasteful number, since it uses less digits than its factorization.

105556005600164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535211547 (or 2535211545 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 44.

The spelling of 105556005600164 in words is "one hundred five trillion, five hundred fifty-six billion, five million, six hundred thousand, one hundred sixty-four".