104014976 has 64 divisors (see below), whose sum is σ = 236348280. Its totient is φ = 45170688.

The previous prime is 104014973. The next prime is 104014997. The reversal of 104014976 is 679410401.

It can be written as a sum of positive squares in 4 ways, for example, as 96040000 + 7974976 = 9800^2 + 2824^2 .

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 (32).

It is not an unprimeable number, because it can be changed into a prime (104014973) 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, 26450 + ... + 30126.

Almost surely, 2^104014976 is an apocalyptic number.

104014976 is a gapful number since it is divisible by the number (16) 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 104014976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118174140).

104014976 is an abundant number, since it is smaller than the sum of its proper divisors (132333304).

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

104014976 is a wasteful number, since it uses less digits than its factorization.

104014976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 104014976 is about 10198.7732595641. The cubic root of 104014976 is about 470.2895092737.

The spelling of 104014976 in words is "one hundred four million, fourteen thousand, nine hundred seventy-six".