100475182080 has 1408 divisors, whose sum is σ = 451191552000. Its totient is φ = 21069103104.

The previous prime is 100475182037. The next prime is 100475182111. The reversal of 100475182080 is 80281574001.

100475182080 is a `hidden beast` number, since 1 + 0 + 0 + 47 + 518 + 20 + 80 = 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 127 ways as a sum of consecutive naturals, for example, 616412079 + ... + 616412241.

Almost surely, 2^100475182080 is an apocalyptic number.

100475182080 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 100475182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225595776000).

100475182080 is an abundant number, since it is smaller than the sum of its proper divisors (350716369920).

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

100475182080 is a wasteful number, since it uses less digits than its factorization.

100475182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 100475182080 in words is "one hundred billion, four hundred seventy-five million, one hundred eighty-two thousand, eighty".