101034165904 has 40 divisors (see below), whose sum is σ = 223742891840. Its totient is φ = 43295637888.

The previous prime is 101034165811. The next prime is 101034165907. The reversal of 101034165904 is 409561430101.

It is a super-2 number, since 2×101034165904² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101034165904.

It is not an unprimeable number, because it can be changed into a prime (101034165907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1103182 + ... + 1191250.

It is an arithmetic number, because the mean of its divisors is an integer number (5593572296).

Almost surely, 2^101034165904 is an apocalyptic number.

101034165904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101034165904 is an abundant number, since it is smaller than the sum of its proper divisors (122708725936).

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

101034165904 is a wasteful number, since it uses less digits than its factorization.

101034165904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98327 (or 98321 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 101034165904 in words is "one hundred one billion, thirty-four million, one hundred sixty-five thousand, nine hundred four".