100056480 has 96 divisors (see below), whose sum is σ = 317520000. Its totient is φ = 26483712.

The previous prime is 100056479. The next prime is 100056521. The reversal of 100056480 is 84650001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100056480² = 20022598379980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100056480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70821 + ... + 72219.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2^100056480 is an apocalyptic number.

100056480 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 100056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760000).

100056480 is an abundant number, since it is smaller than the sum of its proper divisors (217463520).

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

100056480 is a wasteful number, since it uses less digits than its factorization.

100056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 100056480 is about 10002.8236013638. The cubic root of 100056480 is about 464.2462525604.

The spelling of 100056480 in words is "one hundred million, fifty-six thousand, four hundred eighty".