107332986240 has 384 divisors, whose sum is σ = 385921692000. Its totient is φ = 27463090176.

The previous prime is 107332986239. The next prime is 107332986283. The reversal of 107332986240 is 42689233701.

107332986240 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 329 + 86 + 240 = 666.

107332986240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 15554311 + ... + 15561209.

Almost surely, 2^107332986240 is an apocalyptic number.

107332986240 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 107332986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192960846000).

107332986240 is an abundant number, since it is smaller than the sum of its proper divisors (278588705760).

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

107332986240 is a wasteful number, since it uses less digits than its factorization.

107332986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 107332986 and 240, that added together give a triangular number (107333226 = T₁₄₆₅₁).

The spelling of 107332986240 in words is "one hundred seven billion, three hundred thirty-two million, nine hundred eighty-six thousand, two hundred forty".