107302440 has 128 divisors (see below), whose sum is σ = 370944000. Its totient is φ = 24323328.

The previous prime is 107302397. The next prime is 107302441. The reversal of 107302440 is 44203701.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (107302441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116301 + ... + 117219.

It is an arithmetic number, because the mean of its divisors is an integer number (2898000).

Almost surely, 2^107302440 is an apocalyptic number.

107302440 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 107302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185472000).

107302440 is an abundant number, since it is smaller than the sum of its proper divisors (263641560).

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

107302440 is a wasteful number, since it uses less digits than its factorization.

107302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 107302440 is about 10358.6891062528. The cubic root of 107302440 is about 475.1928155338.

The spelling of 107302440 in words is "one hundred seven million, three hundred two thousand, four hundred forty".