107507299049920 has 896 divisors, whose sum is σ = 330361014509568. Its totient is φ = 32352760627200.

The previous prime is 107507299049867. The next prime is 107507299049933. The reversal of 107507299049920 is 29940992705701.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43934326137 + ... + 43934328583.

It is an arithmetic number, because the mean of its divisors is an integer number (368706489408).

Almost surely, 2^{107507299049920} is an apocalyptic number.

107507299049920 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 107507299049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165180507254784).

107507299049920 is an abundant number, since it is smaller than the sum of its proper divisors (222853715459648).

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

107507299049920 is a wasteful number, since it uses less digits than its factorization.

107507299049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 64.

The spelling of 107507299049920 in words is "one hundred seven trillion, five hundred seven billion, two hundred ninety-nine million, forty-nine thousand, nine hundred twenty".