104890400 has 36 divisors (see below), whose sum is σ = 256065642. Its totient is φ = 41955840.

The previous prime is 104890397. The next prime is 104890403. The reversal of 104890400 is 4098401.

It is an interprime number because it is at equal distance from previous prime (104890397) and next prime (104890403).

It can be written as a sum of positive squares in 3 ways, for example, as 61277584 + 43612816 = 7828^2 + 6604^2 .

It is a super-2 number, since 2×104890400² = 22003992024320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104890400.

It is not an unprimeable number, because it can be changed into a prime (104890403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64757 + ... + 66356.

Almost surely, 2^104890400 is an apocalyptic number.

104890400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104890400 is an abundant number, since it is smaller than the sum of its proper divisors (151175242).

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

104890400 is a wasteful number, since it uses less digits than its factorization.

104890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131133 (or 131120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 104890400 is about 10241.6014372753. The cubic root of 104890400 is about 471.6051950893.

The spelling of 104890400 in words is "one hundred four million, eight hundred ninety thousand, four hundred".