100064560 has 80 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 38787840.

The previous prime is 100064509. The next prime is 100064579. The reversal of 100064560 is 65460001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 448609 + ... + 448831.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^100064560 is an apocalyptic number.

100064560 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 100064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

100064560 is an abundant number, since it is smaller than the sum of its proper divisors (139920080).

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

100064560 is a wasteful number, since it uses less digits than its factorization.

100064560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 100064560 is about 10003.2274791689. The cubic root of 100064560 is about 464.2587488650.

The spelling of 100064560 in words is "one hundred million, sixty-four thousand, five hundred sixty".