102166461172 has 24 divisors (see below), whose sum is σ = 181637327816. Its totient is φ = 50273146368.

The previous prime is 102166461149. The next prime is 102166461179. The reversal of 102166461172 is 271164661201.

102166461172 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 61545671056 + 40620790116 = 248084^2 + 201546^2 .

It is a super-2 number, since 2×102166461172² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102166461179) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249363 + ... + 516250.

Almost surely, 2^102166461172 is an apocalyptic number.

It is an amenable number.

102166461172 is a deficient number, since it is larger than the sum of its proper divisors (79470866644).

102166461172 is a wasteful number, since it uses less digits than its factorization.

102166461172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766147 (or 766145 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 102166461172 in words is "one hundred two billion, one hundred sixty-six million, four hundred sixty-one thousand, one hundred seventy-two".