101110560 has 96 divisors (see below), whose sum is σ = 337260672. Its totient is φ = 25374720.

The previous prime is 101110549. The next prime is 101110573. The reversal of 101110560 is 65011101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1965 + ... + 14355.

It is an arithmetic number, because the mean of its divisors is an integer number (3513132).

Almost surely, 2^101110560 is an apocalyptic number.

101110560 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 101110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168630336).

101110560 is an abundant number, since it is smaller than the sum of its proper divisors (236150112).

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

101110560 is a wasteful number, since it uses less digits than its factorization.

101110560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12426 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 101110560 is about 10055.3746822284. The cubic root of 101110560 is about 465.8708158675.

Adding to 101110560 its reverse (65011101), we get a palindrome (166121661).

The spelling of 101110560 in words is "one hundred one million, one hundred ten thousand, five hundred sixty".