103091328 has 96 divisors (see below), whose sum is σ = 299742300. Its totient is φ = 34007040.

The previous prime is 103091323. The next prime is 103091341. The reversal of 103091328 is 823190301.

It can be written as a sum of positive squares in 2 ways, for example, as 103063104 + 28224 = 10152^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (103091323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125158 + ... + 125978.

Almost surely, 2^103091328 is an apocalyptic number.

103091328 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 103091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149871150).

103091328 is an abundant number, since it is smaller than the sum of its proper divisors (196650972).

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

103091328 is a wasteful number, since it uses less digits than its factorization.

103091328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 103091328 is about 10153.3899757667. The cubic root of 103091328 is about 468.8933189495.

The spelling of 103091328 in words is "one hundred three million, ninety-one thousand, three hundred twenty-eight".