104575375800 has 288 divisors, whose sum is σ = 402231398400. Its totient is φ = 23851664640.

The previous prime is 104575375771. The next prime is 104575375819. The reversal of 104575375800 is 8573575401.

It is a happy number.

104575375800 is a `hidden beast` number, since 1 + 0 + 4 + 575 + 3 + 75 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×104575375800² (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 6026737 + ... + 6044063.

It is an arithmetic number, because the mean of its divisors is an integer number (1396636800).

Almost surely, 2^104575375800 is an apocalyptic number.

104575375800 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 104575375800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201115699200).

104575375800 is an abundant number, since it is smaller than the sum of its proper divisors (297656022600).

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

104575375800 is a wasteful number, since it uses less digits than its factorization.

104575375800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17835 (or 17823 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 104575375800 in words is "one hundred four billion, five hundred seventy-five million, three hundred seventy-five thousand, eight hundred".