107431615460 has 24 divisors (see below), whose sum is σ = 242960730936. Its totient is φ = 39667057920.

The previous prime is 107431615457. The next prime is 107431615463. The reversal of 107431615460 is 64516134701.

It is a happy number.

107431615460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107431615457) and next prime (107431615463).

It can be written as a sum of positive squares in 4 ways, for example, as 2771601316 + 104660014144 = 52646^2 + 323512^2 .

It is a super-2 number, since 2×107431615460² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107431615463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206599001 + ... + 206599520.

It is an arithmetic number, because the mean of its divisors is an integer number (10123363789).

Almost surely, 2^107431615460 is an apocalyptic number.

107431615460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107431615460 is an abundant number, since it is smaller than the sum of its proper divisors (135529115476).

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

107431615460 is a wasteful number, since it uses less digits than its factorization.

107431615460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413198543 (or 413198541 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 107431615460 in words is "one hundred seven billion, four hundred thirty-one million, six hundred fifteen thousand, four hundred sixty".