107986782960 has 800 divisors, whose sum is σ = 452683883520. Its totient is φ = 23324184576.

The previous prime is 107986782931. The next prime is 107986783001. The reversal of 107986782960 is 69287689701.

It is a super-2 number, since 2×107986782960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 92851339 + ... + 92852501.

Almost surely, 2^107986782960 is an apocalyptic number.

107986782960 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 107986782960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226341941760).

107986782960 is an abundant number, since it is smaller than the sum of its proper divisors (344697100560).

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

107986782960 is a wasteful number, since it uses less digits than its factorization.

107986782960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 107986782960 in words is "one hundred seven billion, nine hundred eighty-six million, seven hundred eighty-two thousand, nine hundred sixty".