107181880 has 128 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 37324800.

The previous prime is 107181871. The next prime is 107181887. The reversal of 107181880 is 88181701.

It is a super-2 number, since 2×107181880² = 22975910800668800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107181887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983266 + ... + 983374.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2^107181880 is an apocalyptic number.

107181880 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 107181880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

107181880 is an abundant number, since it is smaller than the sum of its proper divisors (167800520).

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

107181880 is a wasteful number, since it uses less digits than its factorization.

107181880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 34.

The square root of 107181880 is about 10352.8682016145. The cubic root of 107181880 is about 475.0147807035.

The spelling of 107181880 in words is "one hundred seven million, one hundred eighty-one thousand, eight hundred eighty".