105288212 has 12 divisors (see below), whose sum is σ = 190608180. Its totient is φ = 50828736.

The previous prime is 105288193. The next prime is 105288217. The reversal of 105288212 is 212882501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83795716 + 21492496 = 9154^2 + 4636^2 .

It is a super-2 number, since 2×105288212² = 22171215172313888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105288217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 453713 + ... + 453944.

It is an arithmetic number, because the mean of its divisors is an integer number (15884015).

Almost surely, 2^105288212 is an apocalyptic number.

It is an amenable number.

105288212 is a deficient number, since it is larger than the sum of its proper divisors (85319968).

105288212 is a wasteful number, since it uses less digits than its factorization.

105288212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907690 (or 907688 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 105288212 is about 10261.0044342647. The cubic root of 105288212 is about 472.2006532207.

The spelling of 105288212 in words is "one hundred five million, two hundred eighty-eight thousand, two hundred twelve".