104964992 has 64 divisors (see below), whose sum is σ = 230307840. Its totient is φ = 47255040.

The previous prime is 104964989. The next prime is 104964997. The reversal of 104964992 is 299469401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×104964992² = 22035299091120128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104964997) 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, 178523 + ... + 179109.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2^104964992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

104964992 is an abundant number, since it is smaller than the sum of its proper divisors (125342848).

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

104964992 is a wasteful number, since it uses less digits than its factorization.

104964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 104964992 is about 10245.2424080643. The cubic root of 104964992 is about 471.7169614001.

The spelling of 104964992 in words is "one hundred four million, nine hundred sixty-four thousand, nine hundred ninety-two".