107987712 has 144 divisors (see below), whose sum is σ = 335543040. Its totient is φ = 30191616.

The previous prime is 107987687. The next prime is 107987713. The reversal of 107987712 is 217789701.

It is a super-2 number, since 2×107987712² = 23322691885989888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (107987713) 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, 284739 + ... + 285117.

It is an arithmetic number, because the mean of its divisors is an integer number (2330160).

Almost surely, 2^107987712 is an apocalyptic number.

107987712 is a gapful number since it is divisible by the number (12) 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 107987712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167771520).

107987712 is an abundant number, since it is smaller than the sum of its proper divisors (227555328).

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

107987712 is an equidigital number, since it uses as much as digits as its factorization.

107987712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 42.

The square root of 107987712 is about 10391.7136219201. The cubic root of 107987712 is about 476.2022538090.

The spelling of 107987712 in words is "one hundred seven million, nine hundred eighty-seven thousand, seven hundred twelve".