101533727376 has 30 divisors (see below), whose sum is σ = 284153417990. Its totient is φ = 33844575744.

The previous prime is 101533727369. The next prime is 101533727381. The reversal of 101533727376 is 673727335101.

101533727376 is a `hidden beast` number, since 10 + 1 + 533 + 72 + 7 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52505139600 + 49028587776 = 229140^2 + 221424^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 352547521 + ... + 352547808.

Almost surely, 2^101533727376 is an apocalyptic number.

101533727376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101533727376 is an abundant number, since it is smaller than the sum of its proper divisors (182619690614).

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

101533727376 is a wasteful number, since it uses less digits than its factorization.

101533727376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705095343 (or 705095334 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 101533727376 in words is "one hundred one billion, five hundred thirty-three million, seven hundred twenty-seven thousand, three hundred seventy-six".