105403332 has 48 divisors (see below), whose sum is σ = 261334080. Its totient is φ = 32950272.

The previous prime is 105403289. The next prime is 105403351. The reversal of 105403332 is 233304501.

It is a super-2 number, since 2×105403332² = 22219724793404448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105403299 and 105403308.

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 15 ways as a sum of consecutive naturals, for example, 70044 + ... + 71532.

It is an arithmetic number, because the mean of its divisors is an integer number (5444460).

Almost surely, 2^105403332 is an apocalyptic number.

105403332 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 105403332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130667040).

105403332 is an abundant number, since it is smaller than the sum of its proper divisors (155930748).

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

105403332 is a wasteful number, since it uses less digits than its factorization.

105403332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 105403332 is about 10266.6124890345. The cubic root of 105403332 is about 472.3726887482.

Adding to 105403332 its reverse (233304501), we get a palindrome (338707833).

The spelling of 105403332 in words is "one hundred five million, four hundred three thousand, three hundred thirty-two".