102166725031 has 16 divisors (see below), whose sum is σ = 118692835840. Its totient is φ = 86127481440.

The previous prime is 102166724987. The next prime is 102166725041. The reversal of 102166725031 is 130527661201.

It is not a de Polignac number, because 102166725031 - 2⁷ = 102166724903 is a prime.

It is a super-2 number, since 2×102166725031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102166725041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123325 + ... + 468553.

It is an arithmetic number, because the mean of its divisors is an integer number (7418302240).

Almost surely, 2^102166725031 is an apocalyptic number.

102166725031 is a deficient number, since it is larger than the sum of its proper divisors (16526110809).

102166725031 is an equidigital number, since it uses as much as digits as its factorization.

102166725031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345934.

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 102166725031 in words is "one hundred two billion, one hundred sixty-six million, seven hundred twenty-five thousand, thirty-one".