107077040 has 80 divisors (see below), whose sum is σ = 287338752. Its totient is φ = 36348672.

The previous prime is 107076971. The next prime is 107077043. The reversal of 107077040 is 40770701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107077040² = 22930984990323200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107077043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59027 + ... + 60813.

Almost surely, 2^107077040 is an apocalyptic number.

107077040 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 107077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143669376).

107077040 is an abundant number, since it is smaller than the sum of its proper divisors (180261712).

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

107077040 is a wasteful number, since it uses less digits than its factorization.

107077040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 107077040 is about 10347.8036316892. The cubic root of 107077040 is about 474.8598515435.

The spelling of 107077040 in words is "one hundred seven million, seventy-seven thousand, forty".