102685990680 has 640 divisors, whose sum is σ = 432059443200. Its totient is φ = 21294793728.

The previous prime is 102685990669. The next prime is 102685990691. The reversal of 102685990680 is 86099586201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102685990669) and next prime (102685990691).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17392609 + ... + 17398511.

It is an arithmetic number, because the mean of its divisors is an integer number (675092880).

Almost surely, 2^102685990680 is an apocalyptic number.

102685990680 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 102685990680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216029721600).

102685990680 is an abundant number, since it is smaller than the sum of its proper divisors (329373452520).

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

102685990680 is a wasteful number, since it uses less digits than its factorization.

102685990680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 102685990680 in words is "one hundred two billion, six hundred eighty-five million, nine hundred ninety thousand, six hundred eighty".