101915109504 has 192 divisors, whose sum is σ = 319091212440. Its totient is φ = 31034769408.

The previous prime is 101915109481. The next prime is 101915109511. The reversal of 101915109504 is 405901519101.

101915109504 is a `hidden beast` number, since 1 + 0 + 1 + 91 + 510 + 9 + 50 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48996707904 + 52918401600 = 221352^2 + 230040^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×101915109504² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417594 + ... + 1487750.

Almost surely, 2^101915109504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101915109504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159545606220).

101915109504 is an abundant number, since it is smaller than the sum of its proper divisors (217176102936).

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

101915109504 is a wasteful number, since it uses less digits than its factorization.

101915109504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70287 (or 70272 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 36.

The spelling of 101915109504 in words is "one hundred one billion, nine hundred fifteen million, one hundred nine thousand, five hundred four".