100516560 has 40 divisors (see below), whose sum is σ = 311602080. Its totient is φ = 26804352.

The previous prime is 100516553. The next prime is 100516571. The reversal of 100516560 is 65615001.

It is a tau number, because it is divible by the number of its divisors (40).

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 100516560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209170 + ... + 209649.

It is an arithmetic number, because the mean of its divisors is an integer number (7790052).

Almost surely, 2^100516560 is an apocalyptic number.

100516560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100516560 is an abundant number, since it is smaller than the sum of its proper divisors (211085520).

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

100516560 is a wasteful number, since it uses less digits than its factorization.

100516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418835 (or 418829 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 100516560 is about 10025.7947315911. The cubic root of 100516560 is about 464.9567308565.

The spelling of 100516560 in words is "one hundred million, five hundred sixteen thousand, five hundred sixty".