107402720 has 48 divisors (see below), whose sum is σ = 254778048. Its totient is φ = 42785280.

The previous prime is 107402717. The next prime is 107402723. The reversal of 107402720 is 27204701.

It is an interprime number because it is at equal distance from previous prime (107402717) and next prime (107402723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107402723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42122 + ... + 44598.

It is an arithmetic number, because the mean of its divisors is an integer number (5307876).

Almost surely, 2^107402720 is an apocalyptic number.

107402720 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 107402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127389024).

107402720 is an abundant number, since it is smaller than the sum of its proper divisors (147375328).

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

107402720 is a wasteful number, since it uses less digits than its factorization.

107402720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 107402720 is about 10363.5283566940. The cubic root of 107402720 is about 475.3408006702.

The spelling of 107402720 in words is "one hundred seven million, four hundred two thousand, seven hundred twenty".