107322768 has 120 divisors (see below), whose sum is σ = 363512448. Its totient is φ = 28855296.

The previous prime is 107322757. The next prime is 107322781. The reversal of 107322768 is 867223701.

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

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 23 ways as a sum of consecutive naturals, for example, 14005 + ... + 20267.

Almost surely, 2^107322768 is an apocalyptic number.

107322768 is a gapful number since it is divisible by the number (18) 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 107322768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181756224).

107322768 is an abundant number, since it is smaller than the sum of its proper divisors (256189680).

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

107322768 is a wasteful number, since it uses less digits than its factorization.

107322768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6301 (or 6292 counting only the distinct ones).

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

The square root of 107322768 is about 10359.6702650229. The cubic root of 107322768 is about 475.2228214051. Note that the first 3 decimals are identical.

The spelling of 107322768 in words is "one hundred seven million, three hundred twenty-two thousand, seven hundred sixty-eight".