100711972 has 12 divisors (see below), whose sum is σ = 176978956. Its totient is φ = 50146560.

The previous prime is 100711957. The next prime is 100711973. The reversal of 100711972 is 279117001.

It can be written as a sum of positive squares in 2 ways, for example, as 92044836 + 8667136 = 9594^2 + 2944^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100711972.

It is not an unprimeable number, because it can be changed into a prime (100711973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51273 + ... + 53200.

Almost surely, 2^100711972 is an apocalyptic number.

It is an amenable number.

100711972 is a deficient number, since it is larger than the sum of its proper divisors (76266984).

100711972 is a wasteful number, since it uses less digits than its factorization.

100711972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104718 (or 104716 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 28.

The square root of 100711972 is about 10035.5354615486. The cubic root of 100711972 is about 465.2578398140.

Adding to 100711972 its reverse (279117001), we get a palindrome (379828973).

The spelling of 100711972 in words is "one hundred million, seven hundred eleven thousand, nine hundred seventy-two".