105940212 has 48 divisors (see below), whose sum is σ = 285032832. Its totient is φ = 29998080.

The previous prime is 105940193. The next prime is 105940217. The reversal of 105940212 is 212049501.

105940212 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105940212² = 22446657037209888, which contains 22 as substring.

105940212 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105940217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3912 + ... + 15072.

It is an arithmetic number, because the mean of its divisors is an integer number (5938184).

Almost surely, 2^105940212 is an apocalyptic number.

105940212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105940212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142516416).

105940212 is an abundant number, since it is smaller than the sum of its proper divisors (179092620).

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

105940212 is a wasteful number, since it uses less digits than its factorization.

105940212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288 (or 11286 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105940212 is about 10292.7261694849. The cubic root of 105940212 is about 473.1733531073.

Adding to 105940212 its reverse (212049501), we get a palindrome (317989713).

The spelling of 105940212 in words is "one hundred five million, nine hundred forty thousand, two hundred twelve".