100971953172 has 36 divisors (see below), whose sum is σ = 257097698676. Its totient is φ = 33411642240.

The previous prime is 100971953129. The next prime is 100971953179. The reversal of 100971953172 is 271359179001.

It is a happy number.

100971953172 is a `hidden beast` number, since 10 + 0 + 97 + 19 + 531 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40512028176 + 60459924996 = 201276^2 + 245886^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×100971953172³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100971953179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10231479 + ... + 10241342.

It is an arithmetic number, because the mean of its divisors is an integer number (7141602741).

Almost surely, 2^100971953172 is an apocalyptic number.

100971953172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100971953172 is an abundant number, since it is smaller than the sum of its proper divisors (156125745504).

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

100971953172 is a wasteful number, since it uses less digits than its factorization.

100971953172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20472968 (or 20472963 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 100971953172 in words is "one hundred billion, nine hundred seventy-one million, nine hundred fifty-three thousand, one hundred seventy-two".