105355212 has 24 divisors (see below), whose sum is σ = 246313536. Its totient is φ = 35049168.

The previous prime is 105355207. The next prime is 105355219. The reversal of 105355212 is 212553501.

It is a happy number.

It is a super-2 number, since 2×105355212² = 22199441391129888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105355219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2118 + ... + 14669.

It is an arithmetic number, because the mean of its divisors is an integer number (10263064).

Almost surely, 2^105355212 is an apocalyptic number.

105355212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105355212 is an abundant number, since it is smaller than the sum of its proper divisors (140958324).

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

105355212 is a wasteful number, since it uses less digits than its factorization.

105355212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17317 (or 17315 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105355212 is about 10264.2687026402. The cubic root of 105355212 is about 472.3007933811.

It can be divided in two parts, 1053 and 55212, that added together give a palindrome (56265).

The spelling of 105355212 in words is "one hundred five million, three hundred fifty-five thousand, two hundred twelve".