101068560 has 140 divisors (see below), whose sum is σ = 352518732. Its totient is φ = 26936064.

The previous prime is 101068549. The next prime is 101068577. The reversal of 101068560 is 65860101.

It can be written as a sum of positive squares in 2 ways, for example, as 40602384 + 60466176 = 6372^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57454 + ... + 59186.

Almost surely, 2^101068560 is an apocalyptic number.

101068560 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 101068560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176259366).

101068560 is an abundant number, since it is smaller than the sum of its proper divisors (251450172).

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

101068560 is an equidigital number, since it uses as much as digits as its factorization.

101068560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 101068560 is about 10053.2860299506. The cubic root of 101068560 is about 465.8063013924.

The spelling of 101068560 in words is "one hundred one million, sixty-eight thousand, five hundred sixty".