105150033 has 12 divisors (see below), whose sum is σ = 152375808. Its totient is φ = 69872760.

The previous prime is 105149939. The next prime is 105150061. The reversal of 105150033 is 330051501.

It is a happy number.

It is not a de Polignac number, because 105150033 - 2¹⁴ = 105133649 is a prime.

It is a super-2 number, since 2×105150033² = 22113058879802178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105149988 and 105150015.

It is not an unprimeable number, because it can be changed into a prime (105150533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15985 + ... + 21582.

It is an arithmetic number, because the mean of its divisors is an integer number (12697984).

Almost surely, 2^105150033 is an apocalyptic number.

It is an amenable number.

105150033 is a deficient number, since it is larger than the sum of its proper divisors (47225775).

105150033 is a wasteful number, since it uses less digits than its factorization.

105150033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37884 (or 37881 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 105150033 is about 10254.2690134402. The cubic root of 105150033 is about 471.9939926100.

The spelling of 105150033 in words is "one hundred five million, one hundred fifty thousand, thirty-three".