105417033 has 16 divisors (see below), whose sum is σ = 145799616. Its totient is φ = 67694400.

The previous prime is 105417023. The next prime is 105417041. The reversal of 105417033 is 330714501.

It is not a de Polignac number, because 105417033 - 2⁸ = 105416777 is a prime.

It is a super-2 number, since 2×105417033² = 22225501693046178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105416994 and 105417012.

It is not an unprimeable number, because it can be changed into a prime (105417023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6510 + ... + 15912.

It is an arithmetic number, because the mean of its divisors is an integer number (9112476).

Almost surely, 2^105417033 is an apocalyptic number.

It is an amenable number.

105417033 is a deficient number, since it is larger than the sum of its proper divisors (40382583).

105417033 is a wasteful number, since it uses less digits than its factorization.

105417033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9544.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 105417033 is about 10267.2797273669. The cubic root of 105417033 is about 472.3931552037.

The spelling of 105417033 in words is "one hundred five million, four hundred seventeen thousand, thirty-three".