104072857200 has 360 divisors, whose sum is σ = 409417597680. Its totient is φ = 24269414400.

The previous prime is 104072857169. The next prime is 104072857241. The reversal of 104072857200 is 2758270401.

104072857200 is a `hidden beast` number, since 10 + 4 + 0 + 72 + 8 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 830680 + ... + 947720.

Almost surely, 2^104072857200 is an apocalyptic number.

104072857200 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 104072857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204708798840).

104072857200 is an abundant number, since it is smaller than the sum of its proper divisors (305344740480).

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

104072857200 is a wasteful number, since it uses less digits than its factorization.

104072857200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117097 (or 117083 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 104072857200 in words is "one hundred four billion, seventy-two million, eight hundred fifty-seven thousand, two hundred".