103833072 has 120 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 29473920.

The previous prime is 103833019. The next prime is 103833113. The reversal of 103833072 is 270338301.

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 23 ways as a sum of consecutive naturals, for example, 240697 + ... + 241127.

It is an arithmetic number, because the mean of its divisors is an integer number (2785536).

Almost surely, 2^103833072 is an apocalyptic number.

103833072 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 103833072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

103833072 is an abundant number, since it is smaller than the sum of its proper divisors (230431248).

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

103833072 is a wasteful number, since it uses less digits than its factorization.

103833072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 103833072 is about 10189.8514218805. The cubic root of 103833072 is about 470.0151979392.

The spelling of 103833072 in words is "one hundred three million, eight hundred thirty-three thousand, seventy-two".