105333150 has 96 divisors (see below), whose sum is σ = 296231040. Its totient is φ = 24554880.

The previous prime is 105333127. The next prime is 105333161. The reversal of 105333150 is 51333501.

It is a happy number.

It is a super-2 number, since 2×105333150² = 22190144977845000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 35629 + ... + 38471.

It is an arithmetic number, because the mean of its divisors is an integer number (3085740).

Almost surely, 2^105333150 is an apocalyptic number.

105333150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105333150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148115520).

105333150 is an abundant number, since it is smaller than the sum of its proper divisors (190897890).

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

105333150 is a wasteful number, since it uses less digits than its factorization.

105333150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 105333150 is about 10263.1939473051. The cubic root of 105333150 is about 472.2678235599.

Adding to 105333150 its reverse (51333501), we get a palindrome (156666651).

The spelling of 105333150 in words is "one hundred five million, three hundred thirty-three thousand, one hundred fifty".