107981513640 has 1536 divisors, whose sum is σ = 518482944000. Its totient is φ = 19595520000.

The previous prime is 107981513609. The next prime is 107981513671. The reversal of 107981513640 is 46315189701.

107981513640 is a `hidden beast` number, since 1 + 0 + 7 + 98 + 1 + 513 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (107981513609) and next prime (107981513671).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 143783265 + ... + 143784015.

It is an arithmetic number, because the mean of its divisors is an integer number (337554000).

Almost surely, 2^107981513640 is an apocalyptic number.

107981513640 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 107981513640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259241472000).

107981513640 is an abundant number, since it is smaller than the sum of its proper divisors (410501430360).

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

107981513640 is a wasteful number, since it uses less digits than its factorization.

107981513640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 107981513640 in words is "one hundred seven billion, nine hundred eighty-one million, five hundred thirteen thousand, six hundred forty".