106312133 has 8 divisors (see below), whose sum is σ = 107765856. Its totient is φ = 104868400.

The previous prime is 106312123. The next prime is 106312147. The reversal of 106312133 is 331213601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106312133 - 2⁶ = 106312069 is a prime.

It is a super-2 number, since 2×106312133² = 22604539246019378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106312123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20318 + ... + 25008.

It is an arithmetic number, because the mean of its divisors is an integer number (13470732).

Almost surely, 2^106312133 is an apocalyptic number.

It is an amenable number.

106312133 is a deficient number, since it is larger than the sum of its proper divisors (1453723).

106312133 is a wasteful number, since it uses less digits than its factorization.

106312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 106312133 is about 10310.7775167540. Note that the first 3 decimals coincide. The cubic root of 106312133 is about 473.7264247080.

Adding to 106312133 its reverse (331213601), we get a palindrome (437525734).

The spelling of 106312133 in words is "one hundred six million, three hundred twelve thousand, one hundred thirty-three".