105013908 has 42 divisors (see below), whose sum is σ = 275543114. Its totient is φ = 35003664.

The previous prime is 105013897. The next prime is 105013921. The reversal of 105013908 is 809310501.

It can be written as a sum of positive squares in only one way, i.e., 87272964 + 17740944 = 9342^2 + 4212^2 .

It is a super-2 number, since 2×105013908² = 22055841746864928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15091 + ... + 20922.

Almost surely, 2^105013908 is an apocalyptic number.

105013908 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105013908 is an abundant number, since it is smaller than the sum of its proper divisors (170529206).

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

105013908 is an equidigital number, since it uses as much as digits as its factorization.

105013908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36035 (or 36018 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105013908 is about 10247.6293843991. The cubic root of 105013908 is about 471.7902268542.

The spelling of 105013908 in words is "one hundred five million, thirteen thousand, nine hundred eight".