104966400 has 432 divisors, whose sum is σ = 437971968. Its totient is φ = 21504000.

The previous prime is 104966387. The next prime is 104966417. The reversal of 104966400 is 4669401.

It is a super-2 number, since 2×104966400² = 22035890257920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478365 + ... + 1478435.

It is an arithmetic number, because the mean of its divisors is an integer number (1013824).

Almost surely, 2^104966400 is an apocalyptic number.

104966400 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 104966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218985984).

104966400 is an abundant number, since it is smaller than the sum of its proper divisors (333005568).

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

104966400 is a wasteful number, since it uses less digits than its factorization.

104966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 104966400 is about 10245.3111226551. The cubic root of 104966400 is about 471.7190705939.

The spelling of 104966400 in words is "one hundred four million, nine hundred sixty-six thousand, four hundred".