107920 has 40 divisors (see below), whose sum is σ = 267840. Its totient is φ = 40320.

The previous prime is 107903. The next prime is 107923. The reversal of 107920 is 29701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1485 + ... + 1555.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2¹⁰⁷⁹²⁰ is an apocalyptic number.

107920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107920 is the 190-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

107920 is an abundant number, since it is smaller than the sum of its proper divisors (159920).

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

107920 is a wasteful number, since it uses less digits than its factorization.

107920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 107920 is about 328.5117958308. The cubic root of 107920 is about 47.6102701282.

The spelling of 107920 in words is "one hundred seven thousand, nine hundred twenty".