105221412 has 36 divisors (see below), whose sum is σ = 277542720. Its totient is φ = 33548592.

The previous prime is 105221393. The next prime is 105221437. The reversal of 105221412 is 214122501.

105221412 is a `hidden beast` number, since 1 + 0 + 522 + 141 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105221412² = 22143091086547488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 62712 + ... + 64367.

It is an arithmetic number, because the mean of its divisors is an integer number (7709520).

Almost surely, 2^105221412 is an apocalyptic number.

105221412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105221412 is an abundant number, since it is smaller than the sum of its proper divisors (172321308).

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

105221412 is a wasteful number, since it uses less digits than its factorization.

105221412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127112 (or 127107 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105221412 is about 10257.7488758499. The cubic root of 105221412 is about 472.1007696845.

Adding to 105221412 its reverse (214122501), we get a palindrome (319343913).

The spelling of 105221412 in words is "one hundred five million, two hundred twenty-one thousand, four hundred twelve".