106212312 has 48 divisors (see below), whose sum is σ = 289355040. Its totient is φ = 35195328.

The previous prime is 106212289. The next prime is 106212319. The reversal of 106212312 is 213212601.

106212312 is a `hidden beast` number, since 10 + 621 + 2 + 31 + 2 = 666.

It is a super-2 number, since 2×106212312² = 22562110440770688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106212319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8193 + ... + 16719.

It is an arithmetic number, because the mean of its divisors is an integer number (6028230).

Almost surely, 2^106212312 is an apocalyptic number.

106212312 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 106212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144677520).

106212312 is an abundant number, since it is smaller than the sum of its proper divisors (183142728).

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

106212312 is a wasteful number, since it uses less digits than its factorization.

106212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106212312 is about 10305.9357653733. The cubic root of 106212312 is about 473.5781109580.

Adding to 106212312 its reverse (213212601), we get a palindrome (319424913).

The spelling of 106212312 in words is "one hundred six million, two hundred twelve thousand, three hundred twelve".