10102686080 has 192 divisors, whose sum is σ = 25882092000. Its totient is φ = 3769638912.

The previous prime is 10102686029. The next prime is 10102686109. The reversal of 10102686080 is 8068620101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16865621 + ... + 16866219.

Almost surely, 2^10102686080 is an apocalyptic number.

10102686080 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 10102686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12941046000).

10102686080 is an abundant number, since it is smaller than the sum of its proper divisors (15779405920).

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

10102686080 is an equidigital number, since it uses as much as digits as its factorization.

10102686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 10102686080 in words is "ten billion, one hundred two million, six hundred eighty-six thousand, eighty".