100096560 has 240 divisors, whose sum is σ = 368309760. Its totient is φ = 25194240.

The previous prime is 100096559. The next prime is 100096571. The reversal of 100096560 is 65690001.

100096560 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369225 + ... + 369495.

It is an arithmetic number, because the mean of its divisors is an integer number (1534624).

Almost surely, 2^100096560 is an apocalyptic number.

100096560 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 100096560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154880).

100096560 is an abundant number, since it is smaller than the sum of its proper divisors (268213200).

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

100096560 is a wasteful number, since it uses less digits than its factorization.

100096560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

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

The square root of 100096560 is about 10004.8268350832. The cubic root of 100096560 is about 464.3082325736.

The spelling of 100096560 in words is "one hundred million, ninety-six thousand, five hundred sixty".