100506560 has 112 divisors (see below), whose sum is σ = 298460160. Its totient is φ = 31319040.

The previous prime is 100506551. The next prime is 100506563. The reversal of 100506560 is 65605001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100506563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22601 + ... + 26679.

Almost surely, 2^100506560 is an apocalyptic number.

100506560 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 100506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149230080).

100506560 is an abundant number, since it is smaller than the sum of its proper divisors (197953600).

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

100506560 is a wasteful number, since it uses less digits than its factorization.

100506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 100506560 is about 10025.2960056050. The cubic root of 100506560 is about 464.9413114354.

The spelling of 100506560 in words is "one hundred million, five hundred six thousand, five hundred sixty".