101314560 has 208 divisors, whose sum is σ = 346774176. Its totient is φ = 25165824.

The previous prime is 101314559. The next prime is 101314561. The reversal of 101314560 is 65413101.

It is an interprime number because it is at equal distance from previous prime (101314559) and next prime (101314561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101314561) 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, 1044432 + ... + 1044528.

Almost surely, 2^101314560 is an apocalyptic number.

101314560 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 101314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173387088).

101314560 is an abundant number, since it is smaller than the sum of its proper divisors (245459616).

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

101314560 is an equidigital number, since it uses as much as digits as its factorization.

101314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 101314560 is about 10065.5133997228. The cubic root of 101314560 is about 466.1839180209.

Adding to 101314560 its reverse (65413101), we get a palindrome (166727661).

The spelling of 101314560 in words is "one hundred one million, three hundred fourteen thousand, five hundred sixty".