107085440 has 256 divisors, whose sum is σ = 333123840. Its totient is φ = 31948800.

The previous prime is 107085383. The next prime is 107085449. The reversal of 107085440 is 44580701.

It is a super-2 number, since 2×107085440² = 22934582919987200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107085449) 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 31 ways as a sum of consecutive naturals, for example, 2020454 + ... + 2020506.

It is an arithmetic number, because the mean of its divisors is an integer number (1301265).

Almost surely, 2^107085440 is an apocalyptic number.

107085440 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 107085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

107085440 is an abundant number, since it is smaller than the sum of its proper divisors (226038400).

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

107085440 is a wasteful number, since it uses less digits than its factorization.

107085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 107085440 is about 10348.2095069630. The cubic root of 107085440 is about 474.8722685174.

The spelling of 107085440 in words is "one hundred seven million, eighty-five thousand, four hundred forty".