106100033 has 8 divisors (see below), whose sum is σ = 114378600. Its totient is φ = 97838208.

The previous prime is 106100021. The next prime is 106100039. The reversal of 106100033 is 330001601.

It can be written as a sum of positive squares in 4 ways, for example, as 10608049 + 95491984 = 3257^2 + 9772^2 .

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

It is not a de Polignac number, because 106100033 - 2¹⁰ = 106099009 is a prime.

It is a super-2 number, since 2×106100033² = 22514434005202178, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106099990 and 106100017.

It is not an unprimeable number, because it can be changed into a prime (106100039) 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, 11063 + ... + 18291.

It is an arithmetic number, because the mean of its divisors is an integer number (14297325).

Almost surely, 2^106100033 is an apocalyptic number.

106100033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106100033 is a deficient number, since it is larger than the sum of its proper divisors (8278567).

106100033 is a wasteful number, since it uses less digits than its factorization.

106100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8371.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 106100033 is about 10300.4870273206. The cubic root of 106100033 is about 473.4111760600.

Adding to 106100033 its reverse (330001601), we get a palindrome (436101634).

The spelling of 106100033 in words is "one hundred six million, one hundred thousand, thirty-three".