101729971772 has 24 divisors (see below), whose sum is σ = 209151131952. Its totient is φ = 42683904000.

The previous prime is 101729971751. The next prime is 101729971829. The reversal of 101729971772 is 277179927101.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88924229 + ... + 88925372.

It is an arithmetic number, because the mean of its divisors is an integer number (8714630498).

Almost surely, 2^101729971772 is an apocalyptic number.

It is an amenable number.

101729971772 is an abundant number, since it is smaller than the sum of its proper divisors (107421160180).

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

101729971772 is a wasteful number, since it uses less digits than its factorization.

101729971772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177849629 (or 177849627 counting only the distinct ones).

The product of its (nonzero) digits is 777924, while the sum is 53.

The spelling of 101729971772 in words is "one hundred one billion, seven hundred twenty-nine million, nine hundred seventy-one thousand, seven hundred seventy-two".