107882380 has 48 divisors (see below), whose sum is σ = 244954080. Its totient is φ = 39771648.

The previous prime is 107882377. The next prime is 107882381. The reversal of 107882380 is 83288701.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (107882381) 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, 10224 + ... + 17896.

It is an arithmetic number, because the mean of its divisors is an integer number (5103210).

Almost surely, 2^107882380 is an apocalyptic number.

107882380 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 107882380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122477040).

107882380 is an abundant number, since it is smaller than the sum of its proper divisors (137071700).

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

107882380 is a wasteful number, since it uses less digits than its factorization.

107882380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738 (or 7736 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 107882380 is about 10386.6443089190. The cubic root of 107882380 is about 476.0473730598.

The spelling of 107882380 in words is "one hundred seven million, eight hundred eighty-two thousand, three hundred eighty".