101073972688 has 40 divisors (see below), whose sum is σ = 212434168968. Its totient is φ = 46309005312.

The previous prime is 101073972683. The next prime is 101073972691. The reversal of 101073972688 is 886279370101.

101073972688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46621584 + 101027351104 = 6828^2 + 317848^2 .

It is a super-3 number, since 3×101073972688³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101073972683) 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 7 ways as a sum of consecutive naturals, for example, 1744981 + ... + 1801972.

Almost surely, 2^101073972688 is an apocalyptic number.

It is an amenable number.

101073972688 is an abundant number, since it is smaller than the sum of its proper divisors (111360196280).

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

101073972688 is a wasteful number, since it uses less digits than its factorization.

101073972688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547111 (or 3547105 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 101073972688 in words is "one hundred one billion, seventy-three million, nine hundred seventy-two thousand, six hundred eighty-eight".