107933280 has 288 divisors, whose sum is σ = 427127904. Its totient is φ = 22708224.

The previous prime is 107933257. The next prime is 107933297. The reversal of 107933280 is 82339701.

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, 305584 + ... + 305936.

It is an arithmetic number, because the mean of its divisors is an integer number (1483083).

Almost surely, 2^107933280 is an apocalyptic number.

107933280 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 107933280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213563952).

107933280 is an abundant number, since it is smaller than the sum of its proper divisors (319194624).

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

107933280 is a wasteful number, since it uses less digits than its factorization.

107933280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 107933280 is about 10389.0942819863. The cubic root of 107933280 is about 476.1222292797.

The spelling of 107933280 in words is "one hundred seven million, nine hundred thirty-three thousand, two hundred eighty".