107042460 has 144 divisors (see below), whose sum is σ = 364041216. Its totient is φ = 23388288.

The previous prime is 107042459. The next prime is 107042503. The reversal of 107042460 is 64240701.

It is a super-2 number, since 2×107042460² = 22916176485703200, 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 107042460.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 66829 + ... + 68411.

It is an arithmetic number, because the mean of its divisors is an integer number (2528064).

Almost surely, 2^107042460 is an apocalyptic number.

107042460 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 107042460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182020608).

107042460 is an abundant number, since it is smaller than the sum of its proper divisors (256998756).

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

107042460 is a wasteful number, since it uses less digits than its factorization.

107042460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1623 counting only the distinct ones).

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

The square root of 107042460 is about 10346.1326107875. The cubic root of 107042460 is about 474.8087281603.

The spelling of 107042460 in words is "one hundred seven million, forty-two thousand, four hundred sixty".