107493760 has 64 divisors (see below), whose sum is σ = 280357200. Its totient is φ = 39086080.

The previous prime is 107493731. The next prime is 107493761. The reversal of 107493760 is 67394701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107493761) 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, 595 + ... + 14674.

Almost surely, 2^107493760 is an apocalyptic number.

107493760 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 107493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140178600).

107493760 is an abundant number, since it is smaller than the sum of its proper divisors (172863440).

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

107493760 is a wasteful number, since it uses less digits than its factorization.

107493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15299 (or 15287 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 107493760 is about 10367.9197527759. The cubic root of 107493760 is about 475.4750704071.

The spelling of 107493760 in words is "one hundred seven million, four hundred ninety-three thousand, seven hundred sixty".