104978400 has 288 divisors, whose sum is σ = 377975808. Its totient is φ = 25190400.

The previous prime is 104978389. The next prime is 104978407. The reversal of 104978400 is 4879401.

It is a super-2 number, since 2×104978400² = 22040928933120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104978407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264759 + ... + 1264841.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^104978400 is an apocalyptic number.

104978400 is a gapful number since it is divisible by the number (10) 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 104978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

104978400 is an abundant number, since it is smaller than the sum of its proper divisors (272997408).

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

104978400 is a wasteful number, since it uses less digits than its factorization.

104978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 104978400 is about 10245.8967396710. The cubic root of 104978400 is about 471.7370459115.

The spelling of 104978400 in words is "one hundred four million, nine hundred seventy-eight thousand, four hundred".