104957376 has 112 divisors (see below), whose sum is σ = 290169600. Its totient is φ = 33454080.

The previous prime is 104957353. The next prime is 104957389. The reversal of 104957376 is 673759401.

It is a super-2 number, since 2×104957376² = 22032101553610752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527325 + ... + 527523.

It is an arithmetic number, because the mean of its divisors is an integer number (2590800).

Almost surely, 2^104957376 is an apocalyptic number.

104957376 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 104957376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145084800).

104957376 is an abundant number, since it is smaller than the sum of its proper divisors (185212224).

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

104957376 is a wasteful number, since it uses less digits than its factorization.

104957376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 104957376 is about 10244.8707166074. The cubic root of 104957376 is about 471.7055522525.

It can be divided in two parts, 10495 and 7376, that added together give a palindrome (17871).

The spelling of 104957376 in words is "one hundred four million, nine hundred fifty-seven thousand, three hundred seventy-six".