107451328 has 56 divisors (see below), whose sum is σ = 219161360. Its totient is φ = 52254720.

The previous prime is 107451319. The next prime is 107451341. The reversal of 107451328 is 823154701.

It is a super-3 number, since 3×107451328³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107451328.

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 7 ways as a sum of consecutive naturals, for example, 509143 + ... + 509353.

Almost surely, 2^107451328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109580680).

107451328 is an abundant number, since it is smaller than the sum of its proper divisors (111710032).

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

107451328 is a wasteful number, since it uses less digits than its factorization.

107451328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 107451328 is about 10365.8732386616. The cubic root of 107451328 is about 475.4124992916.

The spelling of 107451328 in words is "one hundred seven million, four hundred fifty-one thousand, three hundred twenty-eight".