104964 has 12 divisors (see below), whose sum is σ = 244944. Its totient is φ = 34984.

The previous prime is 104959. The next prime is 104971. The reversal of 104964 is 469401.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×104964² = 22034882592, which contains 22 as substring.

It is an unprimeable number.

104964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4362 + ... + 4385.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2¹⁰⁴⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

104964 is an abundant number, since it is smaller than the sum of its proper divisors (139980).

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

104964 is a wasteful number, since it uses less digits than its factorization.

104964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8754 (or 8752 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 104964 is about 323.9814809522. The cubic root of 104964 is about 47.1715475366.

The spelling of 104964 in words is "one hundred four thousand, nine hundred sixty-four".