100151568000 has 768 divisors, whose sum is σ = 409574880000. Its totient is φ = 23215104000.

The previous prime is 100151567953. The next prime is 100151568029. The reversal of 100151568000 is 865151001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36430626 + ... + 36433374.

It is an arithmetic number, because the mean of its divisors is an integer number (533300625).

Almost surely, 2^100151568000 is an apocalyptic number.

100151568000 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 100151568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204787440000).

100151568000 is an abundant number, since it is smaller than the sum of its proper divisors (309423312000).

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

100151568000 is a wasteful number, since it uses less digits than its factorization.

100151568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 100151568000 in words is "one hundred billion, one hundred fifty-one million, five hundred sixty-eight thousand".