102675167 has 24 divisors (see below), whose sum is σ = 123417216. Its totient is φ = 83661984.

The previous prime is 102675149. The next prime is 102675169. The reversal of 102675167 is 761576201.

It is not a de Polignac number, because 102675167 - 2¹⁸ = 102413023 is a prime.

It is a super-3 number, since 3×102675167³ (a number of 25 digits) contains 333 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 (102675169) 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 23 ways as a sum of consecutive naturals, for example, 629828 + ... + 629990.

It is an arithmetic number, because the mean of its divisors is an integer number (5142384).

Almost surely, 2^102675167 is an apocalyptic number.

102675167 is a deficient number, since it is larger than the sum of its proper divisors (20742049).

102675167 is a wasteful number, since it uses less digits than its factorization.

102675167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 102675167 is about 10132.8755543528. The cubic root of 102675167 is about 468.2615222641.

The spelling of 102675167 in words is "one hundred two million, six hundred seventy-five thousand, one hundred sixty-seven".