104875761600 has 252 divisors, whose sum is σ = 381424150536. Its totient is φ = 27316316160.

The previous prime is 104875761589. The next prime is 104875761677. The reversal of 104875761600 is 6167578401.

104875761600 is a `hidden beast` number, since 1 + 0 + 487 + 5 + 7 + 6 + 160 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 534514 + ... + 703886.

Almost surely, 2^104875761600 is an apocalyptic number.

104875761600 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 104875761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190712075268).

104875761600 is an abundant number, since it is smaller than the sum of its proper divisors (276548388936).

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

104875761600 is a wasteful number, since it uses less digits than its factorization.

104875761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169444 (or 169426 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 104875761600 in words is "one hundred four billion, eight hundred seventy-five million, seven hundred sixty-one thousand, six hundred".