103853232 has 160 divisors (see below), whose sum is σ = 346882560. Its totient is φ = 29134080.

The previous prime is 103853227. The next prime is 103853249. The reversal of 103853232 is 232358301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103853196 and 103853205.

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 31 ways as a sum of consecutive naturals, for example, 184183 + ... + 184745.

It is an arithmetic number, because the mean of its divisors is an integer number (2168016).

Almost surely, 2^103853232 is an apocalyptic number.

103853232 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 103853232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173441280).

103853232 is an abundant number, since it is smaller than the sum of its proper divisors (243029328).

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

103853232 is a wasteful number, since it uses less digits than its factorization.

103853232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

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

The square root of 103853232 is about 10190.8405933956. The cubic root of 103853232 is about 470.0456150084.

The spelling of 103853232 in words is "one hundred three million, eight hundred fifty-three thousand, two hundred thirty-two".