104558400 has 252 divisors, whose sum is σ = 381400812. Its totient is φ = 27156480.

The previous prime is 104558383. The next prime is 104558407. The reversal of 104558400 is 4855401.

104558400 is a `hidden beast` number, since 104 + 558 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 28224 + 104530176 = 168^2 + 10224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104558407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 763132 + ... + 763268.

Almost surely, 2^104558400 is an apocalyptic number.

104558400 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 104558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190700406).

104558400 is an abundant number, since it is smaller than the sum of its proper divisors (276842412).

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

104558400 is a wasteful number, since it uses less digits than its factorization.

104558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 104558400 is about 10225.3801885309. The cubic root of 104558400 is about 471.1070929077.

The spelling of 104558400 in words is "one hundred four million, five hundred fifty-eight thousand, four hundred".