107307653640 has 384 divisors, whose sum is σ = 376821918720. Its totient is φ = 24237158400.

The previous prime is 107307653639. The next prime is 107307653641. The reversal of 107307653640 is 46356703701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107307653639) and next prime (107307653641).

It is a junction number, because it is equal to n+sod(n) for n = 107307653592 and 107307653601.

It is not an unprimeable number, because it can be changed into a prime (107307653641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39291075 + ... + 39293805.

It is an arithmetic number, because the mean of its divisors is an integer number (981307080).

Almost surely, 2^107307653640 is an apocalyptic number.

107307653640 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 107307653640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188410959360).

107307653640 is an abundant number, since it is smaller than the sum of its proper divisors (269514265080).

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

107307653640 is a wasteful number, since it uses less digits than its factorization.

107307653640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 107307653640 in words is "one hundred seven billion, three hundred seven million, six hundred fifty-three thousand, six hundred forty".