106212267 has 24 divisors (see below), whose sum is σ = 176427264. Its totient is φ = 60314544.

The previous prime is 106212221. The next prime is 106212269. The reversal of 106212267 is 762212601.

106212267 is a `hidden beast` number, since 10 + 621 + 2 + 26 + 7 = 666.

It is not a de Polignac number, because 106212267 - 2¹⁵ = 106179499 is a prime.

It is a super-2 number, since 2×106212267² = 22562091322558578, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106212267.

It is not an unprimeable number, because it can be changed into a prime (106212269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5098 + ... + 15440.

It is an arithmetic number, because the mean of its divisors is an integer number (7351136).

Almost surely, 2^106212267 is an apocalyptic number.

106212267 is a deficient number, since it is larger than the sum of its proper divisors (70214997).

106212267 is a wasteful number, since it uses less digits than its factorization.

106212267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10519 (or 10516 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106212267 is about 10305.9335821652. The cubic root of 106212267 is about 473.5780440762.

Adding to 106212267 its reverse (762212601), we get a palindrome (868424868).

The spelling of 106212267 in words is "one hundred six million, two hundred twelve thousand, two hundred sixty-seven".