107781120 has 132 divisors (see below), whose sum is σ = 373618440. Its totient is φ = 28729344.

The previous prime is 107781119. The next prime is 107781127. The reversal of 107781120 is 21187701.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107781127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44911 + ... + 47249.

Almost surely, 2^107781120 is an apocalyptic number.

107781120 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 107781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186809220).

107781120 is an abundant number, since it is smaller than the sum of its proper divisors (265837320).

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

107781120 is a wasteful number, since it uses less digits than its factorization.

107781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 107781120 is about 10381.7686354494. The cubic root of 107781120 is about 475.8983847304.

The spelling of 107781120 in words is "one hundred seven million, seven hundred eighty-one thousand, one hundred twenty".