105362729908 has 48 divisors (see below), whose sum is σ = 189450031680. Its totient is φ = 51252424704.

The previous prime is 105362729861. The next prime is 105362729929. The reversal of 105362729908 is 809927263501.

It is a super-2 number, since 2×105362729908² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16134388 + ... + 16140916.

It is an arithmetic number, because the mean of its divisors is an integer number (3946875660).

Almost surely, 2^105362729908 is an apocalyptic number.

It is an amenable number.

105362729908 is a deficient number, since it is larger than the sum of its proper divisors (84087301772).

105362729908 is a wasteful number, since it uses less digits than its factorization.

105362729908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 105362729908 in words is "one hundred five billion, three hundred sixty-two million, seven hundred twenty-nine thousand, nine hundred eight".