107329940256 has 288 divisors, whose sum is σ = 376355185920. Its totient is φ = 26410406400.

The previous prime is 107329940143. The next prime is 107329940279. The reversal of 107329940256 is 652049923701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928551 + ... + 1037721.

It is an arithmetic number, because the mean of its divisors is an integer number (1306788840).

Almost surely, 2^107329940256 is an apocalyptic number.

107329940256 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 107329940256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188177592960).

107329940256 is an abundant number, since it is smaller than the sum of its proper divisors (269025245664).

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

107329940256 is a wasteful number, since it uses less digits than its factorization.

107329940256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109228 (or 109213 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 107329940256 in words is "one hundred seven billion, three hundred twenty-nine million, nine hundred forty thousand, two hundred fifty-six".