102680460080 has 160 divisors (see below), whose sum is σ = 275150960640. Its totient is φ = 35283368960.

The previous prime is 102680460059. The next prime is 102680460101. The reversal of 102680460080 is 80064086201.

It is an interprime number because it is at equal distance from previous prime (102680460059) and next prime (102680460101).

It is a super-3 number, since 3×102680460080³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102680460080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156637 + ... + 1242243.

It is an arithmetic number, because the mean of its divisors is an integer number (1719693504).

Almost surely, 2^102680460080 is an apocalyptic number.

102680460080 is a gapful number since it is divisible by the number (10) 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 102680460080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137575480320).

102680460080 is an abundant number, since it is smaller than the sum of its proper divisors (172470500560).

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

102680460080 is a wasteful number, since it uses less digits than its factorization.

102680460080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85707 (or 85701 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 102680460080 in words is "one hundred two billion, six hundred eighty million, four hundred sixty thousand, eighty".