33105152 has 36 divisors (see below), whose sum is σ = 66869460. Its totient is φ = 16355328.

The previous prime is 33105151. The next prime is 33105161. The reversal of 33105152 is 25150133.

It can be written as a sum of positive squares in 2 ways, for example, as 21381376 + 11723776 = 4624^2 + 3424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33105151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22058 + ... + 23510.

It is an arithmetic number, because the mean of its divisors is an integer number (1857485).

Almost surely, 2^33105152 is an apocalyptic number.

33105152 is a gapful number since it is divisible by the number (32) 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 33105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33434730).

33105152 is an abundant number, since it is smaller than the sum of its proper divisors (33764308).

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

33105152 is an equidigital number, since it uses as much as digits as its factorization.

33105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 33105152 is about 5753.7076741871. The cubic root of 33105152 is about 321.0937572875.

Adding to 33105152 its reverse (25150133), we get a palindrome (58255285).

The spelling of 33105152 in words is "thirty-three million, one hundred five thousand, one hundred fifty-two".