101218560 has 144 divisors (see below), whose sum is σ = 331324224. Its totient is φ = 26320896.

The previous prime is 101218553. The next prime is 101218609. The reversal of 101218560 is 65812101.

It is a super-3 number, since 3×101218560³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101218560.

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, 164814 + ... + 165426.

Almost surely, 2^101218560 is an apocalyptic number.

101218560 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 101218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165662112).

101218560 is an abundant number, since it is smaller than the sum of its proper divisors (230105664).

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

101218560 is an equidigital number, since it uses as much as digits as its factorization.

101218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 101218560 is about 10060.7435112918. The cubic root of 101218560 is about 466.0366282371.

It can be divided in two parts, 10121 and 8560, that added together give a palindrome (18681).

The spelling of 101218560 in words is "one hundred one million, two hundred eighteen thousand, five hundred sixty".