100056096 has 144 divisors (see below), whose sum is σ = 335881728. Its totient is φ = 27648000.

The previous prime is 100056079. The next prime is 100056133. The reversal of 100056096 is 690650001.

100056096 is a `hidden beast` number, since 10 + 0 + 0 + 560 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×100056096² = 20022444693522432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61696 + ... + 63296.

It is an arithmetic number, because the mean of its divisors is an integer number (2332512).

Almost surely, 2^100056096 is an apocalyptic number.

100056096 is a gapful number since it is divisible by the number (16) 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 100056096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167940864).

100056096 is an abundant number, since it is smaller than the sum of its proper divisors (235825632).

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

100056096 is a wasteful number, since it uses less digits than its factorization.

100056096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 100056096 is about 10002.8044067651. The cubic root of 100056096 is about 464.2456586599.

The spelling of 100056096 in words is "one hundred million, fifty-six thousand, ninety-six".