107040768 has 104 divisors (see below), whose sum is σ = 295662336. Its totient is φ = 34406400.

The previous prime is 107040763. The next prime is 107040779. The reversal of 107040768 is 867040701.

It is a super-2 number, since 2×107040768² = 22915452028059648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107040763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380788 + ... + 381068.

Almost surely, 2^107040768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147831168).

107040768 is an abundant number, since it is smaller than the sum of its proper divisors (188621568).

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

107040768 is an equidigital number, since it uses as much as digits as its factorization.

107040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 107040768 is about 10346.0508407798. The cubic root of 107040768 is about 474.8062264097.

The spelling of 107040768 in words is "one hundred seven million, forty thousand, seven hundred sixty-eight".