102671160 has 64 divisors (see below), whose sum is σ = 326138400. Its totient is φ = 25767936.

The previous prime is 102671159. The next prime is 102671161. The reversal of 102671160 is 61176201.

It is an interprime number because it is at equal distance from previous prime (102671159) and next prime (102671161).

It is a super-4 number, since 4×102671160⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102671160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102671161) 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 15 ways as a sum of consecutive naturals, for example, 23125 + ... + 27204.

Almost surely, 2^102671160 is an apocalyptic number.

102671160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102671160 is an abundant number, since it is smaller than the sum of its proper divisors (223467240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102671160 is a wasteful number, since it uses less digits than its factorization.

102671160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50360 (or 50356 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 102671160 is about 10132.6778296756. The cubic root of 102671160 is about 468.2554307284.

It can be divided in two parts, 102671 and 160, that added together give a triangular number (102831 = T₄₅₃).

The spelling of 102671160 in words is "one hundred two million, six hundred seventy-one thousand, one hundred sixty".