109000100560 has 80 divisors (see below), whose sum is σ = 273375159120. Its totient is φ = 40178995200.

The previous prime is 109000100549. The next prime is 109000100579. The reversal of 109000100560 is 65001000901.

It can be written as a sum of positive squares in 8 ways, for example, as 5524651584 + 103475448976 = 74328^2 + 321676^2 .

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

It is a super-2 number, since 2×109000100560² (a number of 23 digits) contains 22 as substring.

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, 537846 + ... + 712234.

It is an arithmetic number, because the mean of its divisors is an integer number (3417189489).

Almost surely, 2^109000100560 is an apocalyptic number.

109000100560 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 109000100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136687579560).

109000100560 is an abundant number, since it is smaller than the sum of its proper divisors (164375058560).

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

109000100560 is a wasteful number, since it uses less digits than its factorization.

109000100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175016 (or 175010 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The spelling of 109000100560 in words is "one hundred nine billion, one hundred thousand, five hundred sixty".