107268390 has 96 divisors (see below), whose sum is σ = 292986720. Its totient is φ = 27191808.

The previous prime is 107268379. The next prime is 107268443. The reversal of 107268390 is 93862701.

107268390 is a `hidden beast` number, since 1 + 0 + 7 + 268 + 390 = 666.

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, 190249 + ... + 190811.

It is an arithmetic number, because the mean of its divisors is an integer number (3051945).

Almost surely, 2^107268390 is an apocalyptic number.

107268390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107268390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146493360).

107268390 is an abundant number, since it is smaller than the sum of its proper divisors (185718330).

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

107268390 is a wasteful number, since it uses less digits than its factorization.

107268390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107268390 is about 10357.0454281132. The cubic root of 107268390 is about 475.1425463223.

The spelling of 107268390 in words is "one hundred seven million, two hundred sixty-eight thousand, three hundred ninety".