101515775616 has 96 divisors (see below), whose sum is σ = 292240746720. Its totient is φ = 33824862720.

The previous prime is 101515775611. The next prime is 101515775639. The reversal of 101515775616 is 616577515101.

101515775616 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 15 + 77 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (101515775611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3051231 + ... + 3084321.

It is an arithmetic number, because the mean of its divisors is an integer number (3044174445).

Almost surely, 2^101515775616 is an apocalyptic number.

101515775616 is a gapful number since it is divisible by the number (16) 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 101515775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146120373360).

101515775616 is an abundant number, since it is smaller than the sum of its proper divisors (190724971104).

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

101515775616 is a wasteful number, since it uses less digits than its factorization.

101515775616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35774 (or 35759 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 45.

The spelling of 101515775616 in words is "one hundred one billion, five hundred fifteen million, seven hundred seventy-five thousand, six hundred sixteen".