104936664 has 64 divisors (see below), whose sum is σ = 301271040. Its totient is φ = 29836800.

The previous prime is 104936647. The next prime is 104936669. The reversal of 104936664 is 466639401.

It is a super-2 number, since 2×104936664² = 22023406902897792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104936669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36064 + ... + 38864.

It is an arithmetic number, because the mean of its divisors is an integer number (4707360).

Almost surely, 2^104936664 is an apocalyptic number.

104936664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104936664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150635520).

104936664 is an abundant number, since it is smaller than the sum of its proper divisors (196334376).

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

104936664 is a wasteful number, since it uses less digits than its factorization.

104936664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 104936664 is about 10243.8598194235. The cubic root of 104936664 is about 471.6745218524.

The spelling of 104936664 in words is "one hundred four million, nine hundred thirty-six thousand, six hundred sixty-four".