105033152 has 56 divisors (see below), whose sum is σ = 240755424. Its totient is φ = 44531712.

The previous prime is 105033151. The next prime is 105033167. The reversal of 105033152 is 251330501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105033152² = 22063926038110208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105033151) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 42248 + ... + 44664.

It is an arithmetic number, because the mean of its divisors is an integer number (4299204).

Almost surely, 2^105033152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120377712).

105033152 is an abundant number, since it is smaller than the sum of its proper divisors (135722272).

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

105033152 is an equidigital number, since it uses as much as digits as its factorization.

105033152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2523 counting only the distinct ones).

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

The square root of 105033152 is about 10248.5682902540. The cubic root of 105033152 is about 471.8190439153.

Adding to 105033152 its reverse (251330501), we get a palindrome (356363653).

The spelling of 105033152 in words is "one hundred five million, thirty-three thousand, one hundred fifty-two".