107871720 has 128 divisors (see below), whose sum is σ = 358318080. Its totient is φ = 25760000.

The previous prime is 107871719. The next prime is 107871733. The reversal of 107871720 is 27178701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93145 + ... + 94295.

It is an arithmetic number, because the mean of its divisors is an integer number (2799360).

Almost surely, 2^107871720 is an apocalyptic number.

107871720 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 107871720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179159040).

107871720 is an abundant number, since it is smaller than the sum of its proper divisors (250446360).

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

107871720 is a wasteful number, since it uses less digits than its factorization.

With its successor (107871721) it forms an eRAP, since the sums of their prime factors are consecutive (1247 and 1248).

107871720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 33.

The square root of 107871720 is about 10386.1311372426. The cubic root of 107871720 is about 476.0316929207.

The spelling of 107871720 in words is "one hundred seven million, eight hundred seventy-one thousand, seven hundred twenty".