101515365720 has 160 divisors (see below), whose sum is σ = 341346614400. Its totient is φ = 27059484672.

The previous prime is 101515365713. The next prime is 101515365739. The reversal of 101515365720 is 27563515101.

It is a happy number.

101515365720 is a `hidden beast` number, since 1 + 0 + 1 + 51 + 5 + 36 + 572 + 0 = 666.

It is a super-2 number, since 2×101515365720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10262617 + ... + 10272503.

It is an arithmetic number, because the mean of its divisors is an integer number (2133416340).

Almost surely, 2^101515365720 is an apocalyptic number.

101515365720 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 101515365720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170673307200).

101515365720 is an abundant number, since it is smaller than the sum of its proper divisors (239831248680).

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

101515365720 is a wasteful number, since it uses less digits than its factorization.

101515365720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13079 (or 13066 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 101515365720 in words is "one hundred one billion, five hundred fifteen million, three hundred sixty-five thousand, seven hundred twenty".