107312464 has 40 divisors (see below), whose sum is σ = 238470848. Its totient is φ = 45826560.

The previous prime is 107312461. The next prime is 107312489. The reversal of 107312464 is 464213701.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107312461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32824 + ... + 35944.

Almost surely, 2^107312464 is an apocalyptic number.

107312464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107312464 is an abundant number, since it is smaller than the sum of its proper divisors (131158384).

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

107312464 is a wasteful number, since it uses less digits than its factorization.

107312464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 107312464 is about 10359.1729399600. The cubic root of 107312464 is about 475.2076122910.

The spelling of 107312464 in words is "one hundred seven million, three hundred twelve thousand, four hundred sixty-four".