107968139136 has 1024 divisors, whose sum is σ = 404190259200. Its totient is φ = 27869184000.

The previous prime is 107968139131. The next prime is 107968139171. The reversal of 107968139136 is 631931869701.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107968139131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 596508966 + ... + 596509146.

It is an arithmetic number, because the mean of its divisors is an integer number (394717050).

Almost surely, 2^107968139136 is an apocalyptic number.

107968139136 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 107968139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202095129600).

107968139136 is an abundant number, since it is smaller than the sum of its proper divisors (296222120064).

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

107968139136 is a wasteful number, since it uses less digits than its factorization.

107968139136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 107968139136 in words is "one hundred seven billion, nine hundred sixty-eight million, one hundred thirty-nine thousand, one hundred thirty-six".