107314631424 has 1728 divisors, whose sum is σ = 457123430400. Its totient is φ = 23290675200.

The previous prime is 107314631423. The next prime is 107314631441. The reversal of 107314631424 is 424136413701.

107314631424 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 14 + 631 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107314631423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1358413017 + ... + 1358413095.

Almost surely, 2^107314631424 is an apocalyptic number.

107314631424 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 107314631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228561715200).

107314631424 is an abundant number, since it is smaller than the sum of its proper divisors (349808798976).

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

107314631424 is a wasteful number, since it uses less digits than its factorization.

107314631424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 107314631424 in words is "one hundred seven billion, three hundred fourteen million, six hundred thirty-one thousand, four hundred twenty-four".