107879746140 has 144 divisors (see below), whose sum is σ = 349213842432. Its totient is φ = 26862409728.

The previous prime is 107879746133. The next prime is 107879746151. The reversal of 107879746140 is 41647978701.

It is a happy number.

107879746140 is a `hidden beast` number, since 1 + 0 + 78 + 79 + 7 + 461 + 40 = 666.

It is a congruent number.

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, 249822 + ... + 527418.

It is an arithmetic number, because the mean of its divisors is an integer number (2425096128).

Almost surely, 2^107879746140 is an apocalyptic number.

107879746140 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 107879746140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174606921216).

107879746140 is an abundant number, since it is smaller than the sum of its proper divisors (241334096292).

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

107879746140 is a wasteful number, since it uses less digits than its factorization.

107879746140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277756 (or 277751 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 107879746140 in words is "one hundred seven billion, eight hundred seventy-nine million, seven hundred forty-six thousand, one hundred forty".