104726400 has 96 divisors (see below), whose sum is σ = 344974200. Its totient is φ = 27924480.

The previous prime is 104726393. The next prime is 104726411. The reversal of 104726400 is 4627401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4146 + ... + 15054.

Almost surely, 2^104726400 is an apocalyptic number.

104726400 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 104726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172487100).

104726400 is an abundant number, since it is smaller than the sum of its proper divisors (240247800).

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

104726400 is a wasteful number, since it uses less digits than its factorization.

104726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10936 (or 10919 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 104726400 is about 10233.5917448372. The cubic root of 104726400 is about 471.3592761850.

The spelling of 104726400 in words is "one hundred four million, seven hundred twenty-six thousand, four hundred".