107895040 has 144 divisors (see below), whose sum is σ = 288449280. Its totient is φ = 38338560.

The previous prime is 107895037. The next prime is 107895049. The reversal of 107895040 is 40598701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 107894987 and 107895005.

It is not an unprimeable number, because it can be changed into a prime (107895049) 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 15 ways as a sum of consecutive naturals, for example, 1112272 + ... + 1112368.

It is an arithmetic number, because the mean of its divisors is an integer number (2003120).

Almost surely, 2^107895040 is an apocalyptic number.

107895040 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 107895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144224640).

107895040 is an abundant number, since it is smaller than the sum of its proper divisors (180554240).

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

107895040 is an equidigital number, since it uses as much as digits as its factorization.

107895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 107895040 is about 10387.2537275259. The cubic root of 107895040 is about 476.0659937218.

The spelling of 107895040 in words is "one hundred seven million, eight hundred ninety-five thousand, forty".