104755795200 has 1944 divisors, whose sum is σ = 485540590080. Its totient is φ = 21056716800.

The previous prime is 104755795181. The next prime is 104755795241. The reversal of 104755795200 is 2597557401.

104755795200 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 55 + 79 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3379219185 + ... + 3379219215.

Almost surely, 2^104755795200 is an apocalyptic number.

104755795200 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 104755795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242770295040).

104755795200 is an abundant number, since it is smaller than the sum of its proper divisors (380784794880).

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

104755795200 is a wasteful number, since it uses less digits than its factorization.

104755795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 104755795200 in words is "one hundred four billion, seven hundred fifty-five million, seven hundred ninety-five thousand, two hundred".