106212392 has 64 divisors (see below), whose sum is σ = 235569600. Its totient is φ = 44259840.

The previous prime is 106212391. The next prime is 106212443. The reversal of 106212392 is 293212601.

It is a super-2 number, since 2×106212392² = 22562144428723328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (106212391) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 259484 + ... + 259892.

It is an arithmetic number, because the mean of its divisors is an integer number (3680775).

Almost surely, 2^106212392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106212392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117784800).

106212392 is an abundant number, since it is smaller than the sum of its proper divisors (129357208).

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

106212392 is a wasteful number, since it uses less digits than its factorization.

106212392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106212392 is about 10305.9396466310. The cubic root of 106212392 is about 473.5782298590.

Adding to 106212392 its reverse (293212601), we get a palindrome (399424993).

The spelling of 106212392 in words is "one hundred six million, two hundred twelve thousand, three hundred ninety-two".