105056105508 has 18 divisors (see below), whose sum is σ = 265558489014. Its totient is φ = 35018701824.

The previous prime is 105056105507. The next prime is 105056105527. The reversal of 105056105508 is 805501650501.

105056105508 is a `hidden beast` number, since 1 + 0 + 50 + 56 + 1 + 0 + 550 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77616845604 + 27439259904 = 278598^2 + 165648^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105056105508² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2918225153 = 105056105508 / (1 + 0 + 5 + 0 + 5 + 6 + 1 + 0 + 5 + 5 + 0 + 8).

It is not an unprimeable number, because it can be changed into a prime (105056105507) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1459112541 + ... + 1459112612.

Almost surely, 2^105056105508 is an apocalyptic number.

105056105508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105056105508 is an abundant number, since it is smaller than the sum of its proper divisors (160502383506).

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

105056105508 is a wasteful number, since it uses less digits than its factorization.

105056105508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918225163 (or 2918225158 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 105056105508 in words is "one hundred five billion, fifty-six million, one hundred five thousand, five hundred eight".