107493120 has 432 divisors, whose sum is σ = 448960512. Its totient is φ = 23224320.

The previous prime is 107493119. The next prime is 107493131. The reversal of 107493120 is 21394701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2499819 + ... + 2499861.

Almost surely, 2^107493120 is an apocalyptic number.

107493120 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 107493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224480256).

107493120 is an abundant number, since it is smaller than the sum of its proper divisors (341467392).

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

107493120 is a wasteful number, since it uses less digits than its factorization.

107493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107493120 is about 10367.8888882935. Note that the first 6 decimals coincide. The cubic root of 107493120 is about 475.4741267721.

The spelling of 107493120 in words is "one hundred seven million, four hundred ninety-three thousand, one hundred twenty".