100505170560 has 128 divisors (see below), whose sum is σ = 320485354560. Its totient is φ = 26790912000.

The previous prime is 100505170511. The next prime is 100505170583. The reversal of 100505170560 is 65071505001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5753199 + ... + 5770641.

Almost surely, 2^100505170560 is an apocalyptic number.

100505170560 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 100505170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160242677280).

100505170560 is an abundant number, since it is smaller than the sum of its proper divisors (219980184000).

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

100505170560 is a wasteful number, since it uses less digits than its factorization.

100505170560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20466 (or 20454 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 30.

Adding to 100505170560 its reverse (65071505001), we get a palindrome (165576675561).

The spelling of 100505170560 in words is "one hundred billion, five hundred five million, one hundred seventy thousand, five hundred sixty".