107787440 has 60 divisors (see below), whose sum is σ = 255055104. Its totient is φ = 42360192.

The previous prime is 107787397. The next prime is 107787479. The reversal of 107787440 is 44787701.

It is a junction number, because it is equal to n+sod(n) for n = 107787394 and 107787403.

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 11 ways as a sum of consecutive naturals, for example, 848657 + ... + 848783.

Almost surely, 2^107787440 is an apocalyptic number.

107787440 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 107787440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127527552).

107787440 is an abundant number, since it is smaller than the sum of its proper divisors (147267664).

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

107787440 is a wasteful number, since it uses less digits than its factorization.

107787440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 38.

The square root of 107787440 is about 10382.0730107238. The cubic root of 107787440 is about 475.9076863564.

The spelling of 107787440 in words is "one hundred seven million, seven hundred eighty-seven thousand, four hundred forty".