107024460 has 96 divisors (see below), whose sum is σ = 308904960. Its totient is φ = 27675648.

The previous prime is 107024443. The next prime is 107024501. The reversal of 107024460 is 64420701.

It is a super-2 number, since 2×107024460² = 22908470076583200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107024460.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317412 + ... + 317748.

It is an arithmetic number, because the mean of its divisors is an integer number (3217760).

Almost surely, 2^107024460 is an apocalyptic number.

107024460 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 107024460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154452480).

107024460 is an abundant number, since it is smaller than the sum of its proper divisors (201880500).

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

107024460 is a wasteful number, since it uses less digits than its factorization.

107024460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 107024460 is about 10345.2626839535. The cubic root of 107024460 is about 474.7821124410.

The spelling of 107024460 in words is "one hundred seven million, twenty-four thousand, four hundred sixty".