106438833 has 32 divisors (see below), whose sum is σ = 161280000. Its totient is φ = 69363216.

The previous prime is 106438831. The next prime is 106438867. The reversal of 106438833 is 338834601.

It is a happy number.

106438833 is a `hidden beast` number, since 1 + 0 + 643 + 8 + 8 + 3 + 3 = 666.

It is not a de Polignac number, because 106438833 - 2¹ = 106438831 is a prime.

It is a super-2 number, since 2×106438833² = 22658450340803778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106438831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296308 + ... + 296666.

It is an arithmetic number, because the mean of its divisors is an integer number (5040000).

Almost surely, 2^106438833 is an apocalyptic number.

It is an amenable number.

106438833 is a deficient number, since it is larger than the sum of its proper divisors (54841167).

106438833 is a wasteful number, since it uses less digits than its factorization.

106438833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 106438833 is about 10316.9197437995. The cubic root of 106438833 is about 473.9145415555.

The spelling of 106438833 in words is "one hundred six million, four hundred thirty-eight thousand, eight hundred thirty-three".