105214110 has 32 divisors (see below), whose sum is σ = 256798080. Its totient is φ = 27581088.

The previous prime is 105214073. The next prime is 105214111. The reversal of 105214110 is 11412501.

It is a happy number.

It is a super-2 number, since 2×105214110² = 22140017886184200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105214110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105214111) 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, 27952 + ... + 31491.

It is an arithmetic number, because the mean of its divisors is an integer number (8024940).

Almost surely, 2^105214110 is an apocalyptic number.

105214110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105214110 is an abundant number, since it is smaller than the sum of its proper divisors (151583970).

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

105214110 is a wasteful number, since it uses less digits than its factorization.

105214110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59512.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 105214110 is about 10257.3929436285. The cubic root of 105214110 is about 472.0898487148.

Adding to 105214110 its reverse (11412501), we get a palindrome (116626611).

The spelling of 105214110 in words is "one hundred five million, two hundred fourteen thousand, one hundred ten".