107264040 has 128 divisors (see below), whose sum is σ = 358646400. Its totient is φ = 25482240.

The previous prime is 107264021. The next prime is 107264041. The reversal of 107264040 is 40462701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 107264040.

It is not an unprimeable number, because it can be changed into a prime (107264041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44055 + ... + 46425.

It is an arithmetic number, because the mean of its divisors is an integer number (2801925).

Almost surely, 2^107264040 is an apocalyptic number.

107264040 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 107264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179323200).

107264040 is an abundant number, since it is smaller than the sum of its proper divisors (251382360).

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

107264040 is a wasteful number, since it uses less digits than its factorization.

107264040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2423 counting only the distinct ones).

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

The square root of 107264040 is about 10356.8354240086. The cubic root of 107264040 is about 475.1361234981.

The spelling of 107264040 in words is "one hundred seven million, two hundred sixty-four thousand, forty".