107982720 has 160 divisors (see below), whose sum is σ = 385810920. Its totient is φ = 28781568.

The previous prime is 107982709. The next prime is 107982731. The reversal of 107982720 is 27289701.

It is an interprime number because it is at equal distance from previous prime (107982709) and next prime (107982731).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50799 + ... + 52881.

Almost surely, 2^107982720 is an apocalyptic number.

107982720 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 107982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192905460).

107982720 is an abundant number, since it is smaller than the sum of its proper divisors (277828200).

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

107982720 is an equidigital number, since it uses as much as digits as its factorization.

107982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 107982720 is about 10391.4734277676. The cubic root of 107982720 is about 476.1949158189.

The spelling of 107982720 in words is "one hundred seven million, nine hundred eighty-two thousand, seven hundred twenty".