107989920 has 144 divisors (see below), whose sum is σ = 388009440. Its totient is φ = 27274752.

The previous prime is 107989913. The next prime is 107989951. The reversal of 107989920 is 29989701.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25387 + ... + 29333.

It is an arithmetic number, because the mean of its divisors is an integer number (2694510).

Almost surely, 2^107989920 is an apocalyptic number.

107989920 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 107989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194004720).

107989920 is an abundant number, since it is smaller than the sum of its proper divisors (280019520).

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

107989920 is a wasteful number, since it uses less digits than its factorization.

107989920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 107989920 is about 10391.8198598706. The cubic root of 107989920 is about 476.2054993864.

The spelling of 107989920 in words is "one hundred seven million, nine hundred eighty-nine thousand, nine hundred twenty".