107420 has 24 divisors (see below), whose sum is σ = 232848. Its totient is φ = 41600.

The previous prime is 107377. The next prime is 107441. The reversal of 107420 is 24701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 107395 and 107404.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107420.

It is an unprimeable number.

107420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755 + ... + 885.

It is an arithmetic number, because the mean of its divisors is an integer number (9702).

2¹⁰⁷⁴²⁰ is an apocalyptic number.

107420 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 107420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116424).

107420 is an abundant number, since it is smaller than the sum of its proper divisors (125428).

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

107420 is a wasteful number, since it uses less digits than its factorization.

107420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 107420 is about 327.7499046529. The cubic root of 107420 is about 47.5366291795.

The spelling of 107420 in words is "one hundred seven thousand, four hundred twenty", and thus it is an iban number.