103324032 has 128 divisors (see below), whose sum is σ = 348595200. Its totient is φ = 29514240.

The previous prime is 103324019. The next prime is 103324049. The reversal of 103324032 is 230423301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×103324032³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103323996 and 103324014.

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, 22057 + ... + 26327.

It is an arithmetic number, because the mean of its divisors is an integer number (2723400).

Almost surely, 2^103324032 is an apocalyptic number.

103324032 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 103324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174297600).

103324032 is an abundant number, since it is smaller than the sum of its proper divisors (245271168).

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

103324032 is an equidigital number, since it uses as much as digits as its factorization.

103324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 103324032 is about 10164.8429402524. The cubic root of 103324032 is about 469.2458586400.

Adding to 103324032 its reverse (230423301), we get a palindrome (333747333).

The spelling of 103324032 in words is "one hundred three million, three hundred twenty-four thousand, thirty-two".