102841167 has 96 divisors (see below), whose sum is σ = 181135360. Its totient is φ = 51321600.

The previous prime is 102841139. The next prime is 102841183. The reversal of 102841167 is 761148201.

It is not a de Polignac number, because 102841167 - 2⁸ = 102840911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102841127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2779473 + ... + 2779509.

Almost surely, 2^102841167 is an apocalyptic number.

102841167 is a deficient number, since it is larger than the sum of its proper divisors (78294193).

102841167 is a wasteful number, since it uses less digits than its factorization.

102841167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 102841167 is about 10141.0634057775. The cubic root of 102841167 is about 468.5137402113.

Adding to 102841167 its reverse (761148201), we get a palindrome (863989368).

It can be divided in two parts, 1028 and 41167, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 102841167 in words is "one hundred two million, eight hundred forty-one thousand, one hundred sixty-seven".