100142974080 has 256 divisors, whose sum is σ = 355028054400. Its totient is φ = 26678071296.

The previous prime is 100142974067. The next prime is 100142974097. The reversal of 100142974080 is 80479241001.

100142974080 is a `hidden beast` number, since 100 + 142 + 9 + 7 + 408 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22167982 + ... + 22172498.

Almost surely, 2^100142974080 is an apocalyptic number.

100142974080 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 100142974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177514027200).

100142974080 is an abundant number, since it is smaller than the sum of its proper divisors (254885080320).

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

100142974080 is a wasteful number, since it uses less digits than its factorization.

100142974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 100142974080 in words is "one hundred billion, one hundred forty-two million, nine hundred seventy-four thousand, eighty".