101115960 has 64 divisors (see below), whose sum is σ = 330929280. Its totient is φ = 24512640.

The previous prime is 101115947. The next prime is 101116021. The reversal of 101115960 is 69511101.

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 101115960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36982 + ... + 39621.

It is an arithmetic number, because the mean of its divisors is an integer number (5170770).

Almost surely, 2^101115960 is an apocalyptic number.

101115960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101115960 is an abundant number, since it is smaller than the sum of its proper divisors (229813320).

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

101115960 is a wasteful number, since it uses less digits than its factorization.

101115960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76628 (or 76624 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 24.

The square root of 101115960 is about 10055.6431917605. The cubic root of 101115960 is about 465.8791092895.

The spelling of 101115960 in words is "one hundred one million, one hundred fifteen thousand, nine hundred sixty".