106033122 has 24 divisors (see below), whose sum is σ = 247411164. Its totient is φ = 32625504.

The previous prime is 106033121. The next prime is 106033127. The reversal of 106033122 is 221330601.

106033122 is a `hidden beast` number, since 10 + 603 + 31 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90041121 + 15992001 = 9489^2 + 3999^2 .

It is a super-2 number, since 2×106033122² = 22486045922133768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106033095 and 106033104.

It is not an unprimeable number, because it can be changed into a prime (106033121) 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, 226333 + ... + 226800.

Almost surely, 2^106033122 is an apocalyptic number.

106033122 is an abundant number, since it is smaller than the sum of its proper divisors (141378042).

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

106033122 is a wasteful number, since it uses less digits than its factorization.

106033122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453154 (or 453151 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106033122 is about 10297.2385618670. The cubic root of 106033122 is about 473.3116376796.

Adding to 106033122 its reverse (221330601), we get a palindrome (327363723).

The spelling of 106033122 in words is "one hundred six million, thirty-three thousand, one hundred twenty-two".