106212106 has 108 divisors (see below), whose sum is σ = 224746326. Its totient is φ = 37477440.

The previous prime is 106212101. The next prime is 106212121. The reversal of 106212106 is 601212601.

It can be written as a sum of positive squares in 3 ways, for example, as 65367225 + 40844881 = 8085^2 + 6391^2 .

It is a super-2 number, since 2×106212106² = 22562022921910472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106212101) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2003976 + ... + 2004028.

Almost surely, 2^106212106 is an apocalyptic number.

106212106 is an abundant number, since it is smaller than the sum of its proper divisors (118534220).

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

106212106 is a wasteful number, since it uses less digits than its factorization.

106212106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 106212106 is about 10305.9257711280. The cubic root of 106212106 is about 473.5778047877.

Adding to 106212106 its reverse (601212601), we get a palindrome (707424707).

It can be divided in two parts, 106 and 212106, that added together give a palindrome (212212).

The spelling of 106212106 in words is "one hundred six million, two hundred twelve thousand, one hundred six".