104700372582400 has 513 divisors, whose sum is σ = 302579224528077. Its totient is φ = 35834403225600.

The previous prime is 104700372582359. The next prime is 104700372582413. The reversal of 104700372582400 is 4285273007401.

The square root of 104700372582400 is 10232320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37692134129664 + 67008238452736 = 6139392^2 + 8185856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183363174115 + ... + 183363174685.

Almost surely, 2^{104700372582400} is an apocalyptic number.

104700372582400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104700372582400 is the 10232320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104700372582400

104700372582400 is an abundant number, since it is smaller than the sum of its proper divisors (197878851945677).

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

104700372582400 is an frugal number, since it uses more digits than its factorization.

104700372582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 104700372582400 in words is "one hundred four trillion, seven hundred billion, three hundred seventy-two million, five hundred eighty-two thousand, four hundred".