102613167 has 18 divisors (see below), whose sum is σ = 156435552. Its totient is φ = 64806264.

The previous prime is 102613157. The next prime is 102613169. The reversal of 102613167 is 761316201.

It is not a de Polignac number, because 102613167 - 2⁴ = 102613151 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102613167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102613169) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12543 + ... + 19040.

It is an arithmetic number, because the mean of its divisors is an integer number (8690864).

Almost surely, 2^102613167 is an apocalyptic number.

102613167 is a deficient number, since it is larger than the sum of its proper divisors (53822385).

102613167 is a wasteful number, since it uses less digits than its factorization.

102613167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31627 (or 31605 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 102613167 is about 10129.8157436352. The cubic root of 102613167 is about 468.1672506537.

Adding to 102613167 its reverse (761316201), we get a palindrome (863929368).

The spelling of 102613167 in words is "one hundred two million, six hundred thirteen thousand, one hundred sixty-seven".