102640167 has 12 divisors (see below), whose sum is σ = 169437840. Its totient is φ = 58651488.

The previous prime is 102640157. The next prime is 102640201. The reversal of 102640167 is 761046201.

102640167 is a `hidden beast` number, since 1 + 0 + 2 + 640 + 16 + 7 = 666.

It is not a de Polignac number, because 102640167 - 2⁶ = 102640103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102640167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102640127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 814542 + ... + 814667.

It is an arithmetic number, because the mean of its divisors is an integer number (14119820).

Almost surely, 2^102640167 is an apocalyptic number.

102640167 is a deficient number, since it is larger than the sum of its proper divisors (66797673).

102640167 is a wasteful number, since it uses less digits than its factorization.

102640167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629222 (or 1629219 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102640167 is about 10131.1483554432. The cubic root of 102640167 is about 468.2083090858.

Adding to 102640167 its reverse (761046201), we get a palindrome (863686368).

The spelling of 102640167 in words is "one hundred two million, six hundred forty thousand, one hundred sixty-seven".