103328352 has 96 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 33842304.

The previous prime is 103328347. The next prime is 103328389. The reversal of 103328352 is 253823301.

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

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49963 + ... + 51989.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2^103328352 is an apocalyptic number.

103328352 is a gapful number since it is divisible by the number (12) 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 103328352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

103328352 is an abundant number, since it is smaller than the sum of its proper divisors (203305248).

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

103328352 is a wasteful number, since it uses less digits than its factorization.

103328352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 103328352 is about 10165.0554351661. The cubic root of 103328352 is about 469.2523983056.

It can be divided in two parts, 103 and 328352, that added together give a triangular number (328455 = T₈₁₀).

The spelling of 103328352 in words is "one hundred three million, three hundred twenty-eight thousand, three hundred fifty-two".