102572117 has 2 divisors, whose sum is σ = 102572118. Its totient is φ = 102572116.

The previous prime is 102572027. The next prime is 102572137. The reversal of 102572117 is 711275201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72607441 + 29964676 = 8521^2 + 5474^2 .

It is a cyclic number.

It is not a de Polignac number, because 102572117 - 2¹⁰ = 102571093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102572137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51286058 + 51286059.

It is an arithmetic number, because the mean of its divisors is an integer number (51286059).

Almost surely, 2^102572117 is an apocalyptic number.

It is an amenable number.

102572117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102572117 is an equidigital number, since it uses as much as digits as its factorization.

102572117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 980, while the sum is 26.

The square root of 102572117 is about 10127.7893441758. The cubic root of 102572117 is about 468.1048128286.

The spelling of 102572117 in words is "one hundred two million, five hundred seventy-two thousand, one hundred seventeen".