102725167 has 2 divisors, whose sum is σ = 102725168. Its totient is φ = 102725166.

The previous prime is 102725141. The next prime is 102725171. The reversal of 102725167 is 761527201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102725167 - 2¹⁵ = 102692399 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102725177) 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 as a sum of consecutive naturals, namely, 51362583 + 51362584.

It is an arithmetic number, because the mean of its divisors is an integer number (51362584).

Almost surely, 2^102725167 is an apocalyptic number.

102725167 is a deficient number, since it is larger than the sum of its proper divisors (1).

102725167 is an equidigital number, since it uses as much as digits as its factorization.

102725167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 102725167 is about 10135.3424707802. The cubic root of 102725167 is about 468.3375201167.

The spelling of 102725167 in words is "one hundred two million, seven hundred twenty-five thousand, one hundred sixty-seven".