107312257024 has 192 divisors, whose sum is σ = 254741760000. Its totient is φ = 44219793408.

The previous prime is 107312257007. The next prime is 107312257037. The reversal of 107312257024 is 420752213701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149251737 + ... + 149252455.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780000).

Almost surely, 2^107312257024 is an apocalyptic number.

107312257024 is a gapful number since it is divisible by the number (14) 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 107312257024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880000).

107312257024 is an abundant number, since it is smaller than the sum of its proper divisors (147429502976).

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

107312257024 is an equidigital number, since it uses as much as digits as its factorization.

107312257024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 107312257024 in words is "one hundred seven billion, three hundred twelve million, two hundred fifty-seven thousand, twenty-four".