101100560 has 80 divisors (see below), whose sum is σ = 258679872. Its totient is φ = 36441600.

The previous prime is 101100553. The next prime is 101100563. The reversal of 101100560 is 65001101.

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

It is not an unprimeable number, because it can be changed into a prime (101100563) 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, 114842 + ... + 115718.

Almost surely, 2^101100560 is an apocalyptic number.

101100560 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 101100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129339936).

101100560 is an abundant number, since it is smaller than the sum of its proper divisors (157579312).

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

101100560 is a wasteful number, since it uses less digits than its factorization.

101100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 101100560 is about 10054.8774234199. The cubic root of 101100560 is about 465.8554568989.

Adding to 101100560 its reverse (65001101), we get a palindrome (166101661).

The spelling of 101100560 in words is "one hundred one million, one hundred thousand, five hundred sixty".