105121212 has 96 divisors (see below), whose sum is σ = 290594304. Its totient is φ = 28953600.

The previous prime is 105121189. The next prime is 105121229. The reversal of 105121212 is 212121501.

It is a super-2 number, since 2×105121212² = 22100938424697888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105121191 and 105121200.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 451048 + ... + 451280.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 2^105121212 is an apocalyptic number.

105121212 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 105121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

105121212 is an abundant number, since it is smaller than the sum of its proper divisors (185473092).

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

105121212 is a wasteful number, since it uses less digits than its factorization.

105121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

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

The square root of 105121212 is about 10252.8635999900. The cubic root of 105121212 is about 471.9508650854.

Adding to 105121212 its reverse (212121501), we get a palindrome (317242713).

The spelling of 105121212 in words is "one hundred five million, one hundred twenty-one thousand, two hundred twelve".