10108686336 has 416 divisors, whose sum is σ = 33818738688. Its totient is φ = 2618818560.

The previous prime is 10108686331. The next prime is 10108686359. The reversal of 10108686336 is 63368680101.

10108686336 = T₂₃ + T₂₄ + ... + T₃₉₂₈.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108686331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45330321 + ... + 45330543.

Almost surely, 2^10108686336 is an apocalyptic number.

10108686336 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 10108686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16909369344).

10108686336 is an abundant number, since it is smaller than the sum of its proper divisors (23710052352).

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

10108686336 is a wasteful number, since it uses less digits than its factorization.

10108686336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 10108686336 in words is "ten billion, one hundred eight million, six hundred eighty-six thousand, three hundred thirty-six".