107288040 has 32 divisors (see below), whose sum is σ = 321864480. Its totient is φ = 28610112.

The previous prime is 107288039. The next prime is 107288089. The reversal of 107288040 is 40882701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 107287989 and 107288007.

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 7 ways as a sum of consecutive naturals, for example, 446914 + ... + 447153.

It is an arithmetic number, because the mean of its divisors is an integer number (10058265).

Almost surely, 2^107288040 is an apocalyptic number.

107288040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107288040 is an abundant number, since it is smaller than the sum of its proper divisors (214576440).

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

107288040 is a wasteful number, since it uses less digits than its factorization.

107288040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894081 (or 894077 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 107288040 is about 10357.9940142867. The cubic root of 107288040 is about 475.1715576057.

The spelling of 107288040 in words is "one hundred seven million, two hundred eighty-eight thousand, forty".