107267328 has 180 divisors, whose sum is σ = 366039520. Its totient is φ = 30606336.

The previous prime is 107267323. The next prime is 107267333. The reversal of 107267328 is 823762701.

It is an interprime number because it is at equal distance from previous prime (107267323) and next prime (107267333).

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

It is a junction number, because it is equal to n+sod(n) for n = 107267292 and 107267301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107267323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144783 + ... + 145521.

Almost surely, 2^107267328 is an apocalyptic number.

107267328 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 107267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183019760).

107267328 is an abundant number, since it is smaller than the sum of its proper divisors (258772192).

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

107267328 is an frugal number, since it uses more digits than its factorization.

107267328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 751 counting only the distinct ones).

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

The square root of 107267328 is about 10356.9941585385. The cubic root of 107267328 is about 475.1409782833.

It can be divided in two parts, 1072673 and 28, that added together give a palindrome (1072701).

The spelling of 107267328 in words is "one hundred seven million, two hundred sixty-seven thousand, three hundred twenty-eight".