101009972 has 18 divisors (see below), whose sum is σ = 205627842. Its totient is φ = 43289904.

The previous prime is 101009957. The next prime is 101009983. The reversal of 101009972 is 279900101.

It can be written as a sum of positive squares in only one way, i.e., 77545636 + 23464336 = 8806^2 + 4844^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 257483 + ... + 257874.

It is an arithmetic number, because the mean of its divisors is an integer number (11423769).

Almost surely, 2^101009972 is an apocalyptic number.

It is an amenable number.

101009972 is an abundant number, since it is smaller than the sum of its proper divisors (104617870).

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

101009972 is a wasteful number, since it uses less digits than its factorization.

101009972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515375 (or 515366 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 101009972 is about 10050.3717344186. The cubic root of 101009972 is about 465.7162769093.

The spelling of 101009972 in words is "one hundred one million, nine thousand, nine hundred seventy-two".