105010055500101 has 16 divisors (see below), whose sum is σ = 140540550037440. Its totient is φ = 69743299939200.

The previous prime is 105010055500093. The next prime is 105010055500123. The reversal of 105010055500101 is 101005550010501.

It is not a de Polignac number, because 105010055500101 - 2³ = 105010055500093 is a prime.

It is a super-2 number, since 2×105010055500101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010055502101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18445456 + ... + 23457513.

It is an arithmetic number, because the mean of its divisors is an integer number (8783784377340).

Almost surely, 2^{105010055500101} is an apocalyptic number.

It is an amenable number.

105010055500101 is a deficient number, since it is larger than the sum of its proper divisors (35530494537339).

105010055500101 is a wasteful number, since it uses less digits than its factorization.

105010055500101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41906116.

The product of its (nonzero) digits is 625, while the sum is 24.

The spelling of 105010055500101 in words is "one hundred five trillion, ten billion, fifty-five million, five hundred thousand, one hundred one".