104194252800 has 840 divisors, whose sum is σ = 421810872912. Its totient is φ = 25214976000.

The previous prime is 104194252793. The next prime is 104194252807. The reversal of 104194252800 is 8252491401.

104194252800 is a `hidden beast` number, since 1 + 0 + 41 + 94 + 2 + 528 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104194252793) and next prime (104194252807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104194252807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 182476515 + ... + 182477085.

Almost surely, 2^104194252800 is an apocalyptic number.

104194252800 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 104194252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210905436456).

104194252800 is an abundant number, since it is smaller than the sum of its proper divisors (317616620112).

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

104194252800 is an equidigital number, since it uses as much as digits as its factorization.

104194252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 104194252800 in words is "one hundred four billion, one hundred ninety-four million, two hundred fifty-two thousand, eight hundred".