102117660 has 48 divisors (see below), whose sum is σ = 290627232. Its totient is φ = 26784000.

The previous prime is 102117641. The next prime is 102117679. The reversal of 102117660 is 66711201.

It is an interprime number because it is at equal distance from previous prime (102117641) and next prime (102117679).

It is a self number, because there is not a number n which added to its sum of digits gives 102117660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10291 + ... + 17610.

It is an arithmetic number, because the mean of its divisors is an integer number (6054734).

Almost surely, 2^102117660 is an apocalyptic number.

102117660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102117660 is an abundant number, since it is smaller than the sum of its proper divisors (188509572).

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

102117660 is a wasteful number, since it uses less digits than its factorization.

102117660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27974 (or 27972 counting only the distinct ones).

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

The square root of 102117660 is about 10105.3282974874. The cubic root of 102117660 is about 467.4124594207.

Adding to 102117660 its reverse (66711201), we get a palindrome (168828861).

It can be divided in two parts, 10211 and 7660, that added together give a palindrome (17871).

The spelling of 102117660 in words is "one hundred two million, one hundred seventeen thousand, six hundred sixty".