107120420 has 48 divisors (see below), whose sum is σ = 250060608. Its totient is φ = 38213760.

The previous prime is 107120399. The next prime is 107120491. The reversal of 107120420 is 24021701.

It is a super-2 number, since 2×107120420² = 22949568761952800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7067 + ... + 16253.

It is an arithmetic number, because the mean of its divisors is an integer number (5209596).

Almost surely, 2^107120420 is an apocalyptic number.

107120420 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 107120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125030304).

107120420 is an abundant number, since it is smaller than the sum of its proper divisors (142940188).

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

107120420 is a wasteful number, since it uses less digits than its factorization.

107120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9260 (or 9258 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 107120420 is about 10349.8995164204. The cubic root of 107120420 is about 474.9239693636.

The spelling of 107120420 in words is "one hundred seven million, one hundred twenty thousand, four hundred twenty".