107620 has 12 divisors (see below), whose sum is σ = 226044. Its totient is φ = 43040.

The previous prime is 107609. The next prime is 107621. The reversal of 107620 is 26701.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 70756 = 192^2 + 266^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 107594 and 107603.

It is not an unprimeable number, because it can be changed into a prime (107621) by changing a digit.

107620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 2671 + ... + 2710.

It is an arithmetic number, because the mean of its divisors is an integer number (18837).

2¹⁰⁷⁶²⁰ is an apocalyptic number.

107620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107620 is an abundant number, since it is smaller than the sum of its proper divisors (118424).

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

107620 is a wasteful number, since it uses less digits than its factorization.

107620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 107620 is about 328.0548734587. The cubic root of 107620 is about 47.5661129241.

It can be divided in two parts, 107 and 620, that added together give a palindrome (727).

The spelling of 107620 in words is "one hundred seven thousand, six hundred twenty".