100998560 has 96 divisors (see below), whose sum is σ = 261636480. Its totient is φ = 36615168.

The previous prime is 100998559. The next prime is 100998613. The reversal of 100998560 is 65899001.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 122309 + ... + 123131.

It is an arithmetic number, because the mean of its divisors is an integer number (2725380).

Almost surely, 2^100998560 is an apocalyptic number.

100998560 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 100998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130818240).

100998560 is an abundant number, since it is smaller than the sum of its proper divisors (160637920).

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

100998560 is a wasteful number, since it uses less digits than its factorization.

100998560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 100998560 is about 10049.8039781878. The cubic root of 100998560 is about 465.6987375376.

The spelling of 100998560 in words is "one hundred million, nine hundred ninety-eight thousand, five hundred sixty".