100572480 has 168 divisors, whose sum is σ = 353763072. Its totient is φ = 26213376.

The previous prime is 100572379. The next prime is 100572481. The reversal of 100572480 is 84275001.

100572480 is a `hidden beast` number, since 10 + 0 + 572 + 4 + 80 = 666.

It is a super-2 number, since 2×100572480² = 20229647466700800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100572481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134989 + ... + 135731.

Almost surely, 2^100572480 is an apocalyptic number.

100572480 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 100572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176881536).

100572480 is an abundant number, since it is smaller than the sum of its proper divisors (253190592).

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

100572480 is a wasteful number, since it uses less digits than its factorization.

100572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 100572480 is about 10028.5831501763. The cubic root of 100572480 is about 465.0429374156.

The spelling of 100572480 in words is "one hundred million, five hundred seventy-two thousand, four hundred eighty".