107723136 has 128 divisors (see below), whose sum is σ = 299635200. Its totient is φ = 34265088.

The previous prime is 107723129. The next prime is 107723159. The reversal of 107723136 is 631327701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1363545 + ... + 1363623.

It is an arithmetic number, because the mean of its divisors is an integer number (2340900).

Almost surely, 2^107723136 is an apocalyptic number.

107723136 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 107723136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817600).

107723136 is an abundant number, since it is smaller than the sum of its proper divisors (191912064).

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

107723136 is an equidigital number, since it uses as much as digits as its factorization.

107723136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 107723136 is about 10378.9756720015. The cubic root of 107723136 is about 475.8130282788.

The spelling of 107723136 in words is "one hundred seven million, seven hundred twenty-three thousand, one hundred thirty-six".