104627734200 has 1152 divisors, whose sum is σ = 431869501440. Its totient is φ = 22394880000.

The previous prime is 104627734181. The next prime is 104627734297. The reversal of 104627734200 is 2437726401.

104627734200 is a `hidden beast` number, since 1 + 0 + 4 + 627 + 7 + 3 + 4 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 386080065 + ... + 386080335.

It is an arithmetic number, because the mean of its divisors is an integer number (374886720).

Almost surely, 2^104627734200 is an apocalyptic number.

104627734200 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 104627734200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215934750720).

104627734200 is an abundant number, since it is smaller than the sum of its proper divisors (327241767240).

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

104627734200 is a wasteful number, since it uses less digits than its factorization.

104627734200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 104627734200 in words is "one hundred four billion, six hundred twenty-seven million, seven hundred thirty-four thousand, two hundred".