105122053255401 has 24 divisors (see below), whose sum is σ = 186883650233280. Its totient is φ = 55448995123296.

The previous prime is 105122053255319. The next prime is 105122053255481. The reversal of 105122053255401 is 104552350221501.

105122053255401 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 220 + 5 + 3 + 25 + 5 + 401 = 666.

It is not a de Polignac number, because 105122053255401 - 2²² = 105122049061097 is a prime.

It is a super-2 number, since 2×105122053255401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105122053255481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64177076871 + ... + 64177078508.

It is an arithmetic number, because the mean of its divisors is an integer number (7786818759720).

Almost surely, 2^{105122053255401} is an apocalyptic number.

It is an amenable number.

105122053255401 is a deficient number, since it is larger than the sum of its proper divisors (81761596977879).

105122053255401 is a wasteful number, since it uses less digits than its factorization.

105122053255401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128354155405 (or 128354155402 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 105122053255401 in words is "one hundred five trillion, one hundred twenty-two billion, fifty-three million, two hundred fifty-five thousand, four hundred one".