104737408 has 64 divisors (see below), whose sum is σ = 223257600. Its totient is φ = 48771072.

The previous prime is 104737387. The next prime is 104737421. The reversal of 104737408 is 804737401.

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

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 276163 + ... + 276541.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2^104737408 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 104737408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111628800).

104737408 is an abundant number, since it is smaller than the sum of its proper divisors (118520192).

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

104737408 is a wasteful number, since it uses less digits than its factorization.

104737408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 104737408 is about 10234.1295672861. The cubic root of 104737408 is about 471.3757907764.

The spelling of 104737408 in words is "one hundred four million, seven hundred thirty-seven thousand, four hundred eight".