105005105510601 has 16 divisors (see below), whose sum is σ = 141844198536000. Its totient is φ = 69090693067968.

The previous prime is 105005105510549. The next prime is 105005105510623. The reversal of 105005105510601 is 106015501500501.

It is not a de Polignac number, because 105005105510601 - 2²³ = 105005097121993 is a prime.

It is a super-2 number, since 2×105005105510601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005105514601) 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, 748053231 + ... + 748193588.

It is an arithmetic number, because the mean of its divisors is an integer number (8865262408500).

Almost surely, 2^{105005105510601} is an apocalyptic number.

It is an amenable number.

105005105510601 is a deficient number, since it is larger than the sum of its proper divisors (36839093025399).

105005105510601 is a wasteful number, since it uses less digits than its factorization.

105005105510601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496247128.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 105005105510601 in words is "one hundred five trillion, five billion, one hundred five million, five hundred ten thousand, six hundred one".