100572368000 has 256 divisors, whose sum is σ = 271411620480. Its totient is φ = 36840960000.

The previous prime is 100572367963. The next prime is 100572368009. The reversal of 100572368000 is 863275001.

It is a happy number.

It is a super-2 number, since 2×100572368000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (100572368009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27246155 + ... + 27249845.

Almost surely, 2^100572368000 is an apocalyptic number.

100572368000 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 100572368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705810240).

100572368000 is an abundant number, since it is smaller than the sum of its proper divisors (170839252480).

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

100572368000 is a wasteful number, since it uses less digits than its factorization.

100572368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 100572368000 in words is "one hundred billion, five hundred seventy-two million, three hundred sixty-eight thousand".