107282736 has 120 divisors (see below), whose sum is σ = 331652880. Its totient is φ = 32102400.

The previous prime is 107282719. The next prime is 107282779. The reversal of 107282736 is 637282701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 107282736.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140596 + ... + 141356.

It is an arithmetic number, because the mean of its divisors is an integer number (2763774).

Almost surely, 2^107282736 is an apocalyptic number.

107282736 is a gapful number since it is divisible by the number (16) 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 107282736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165826440).

107282736 is an abundant number, since it is smaller than the sum of its proper divisors (224370144).

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

107282736 is a wasteful number, since it uses less digits than its factorization.

107282736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 107282736 is about 10357.7379769909. The cubic root of 107282736 is about 475.1637271228.

The spelling of 107282736 in words is "one hundred seven million, two hundred eighty-two thousand, seven hundred thirty-six".