105033110 has 32 divisors (see below), whose sum is σ = 232690752. Its totient is φ = 33240960.

The previous prime is 105033101. The next prime is 105033113. The reversal of 105033110 is 11330501.

It is a super-2 number, since 2×105033110² = 22063908392544200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105033113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 56801 + ... + 58620.

It is an arithmetic number, because the mean of its divisors is an integer number (7271586).

Almost surely, 2^105033110 is an apocalyptic number.

105033110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105033110 is an abundant number, since it is smaller than the sum of its proper divisors (127657642).

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

105033110 is a wasteful number, since it uses less digits than its factorization.

105033110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115448.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 105033110 is about 10248.5662411871. The cubic root of 105033110 is about 471.8189810259.

Adding to 105033110 its reverse (11330501), we get a palindrome (116363611).

The spelling of 105033110 in words is "one hundred five million, thirty-three thousand, one hundred ten".