102116338176 has 80 divisors (see below), whose sum is σ = 273049273728. Its totient is φ = 33913036800.

The previous prime is 102116338169. The next prime is 102116338183. The reversal of 102116338176 is 671833611201.

It is an interprime number because it is at equal distance from previous prime (102116338169) and next prime (102116338183).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293596 + ... + 538916.

Almost surely, 2^102116338176 is an apocalyptic number.

102116338176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102116338176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136524636864).

102116338176 is an abundant number, since it is smaller than the sum of its proper divisors (170932935552).

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

102116338176 is an equidigital number, since it uses as much as digits as its factorization.

102116338176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245613 (or 245597 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

Adding to 102116338176 its reverse (671833611201), we get a palindrome (773949949377).

The spelling of 102116338176 in words is "one hundred two billion, one hundred sixteen million, three hundred thirty-eight thousand, one hundred seventy-six".