107051328 has 112 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 34790400.

The previous prime is 107051297. The next prime is 107051333. The reversal of 107051328 is 823150701.

It is a super-2 number, since 2×107051328² = 22919973653127168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70093 + ... + 71603.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2^107051328 is an apocalyptic number.

107051328 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 107051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

107051328 is an abundant number, since it is smaller than the sum of its proper divisors (215548992).

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

107051328 is a wasteful number, since it uses less digits than its factorization.

107051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 107051328 is about 10346.5611678470. The cubic root of 107051328 is about 474.8218397409.

The spelling of 107051328 in words is "one hundred seven million, fifty-one thousand, three hundred twenty-eight".