106400033 has 4 divisors (see below), whose sum is σ = 106504068. Its totient is φ = 106296000.

The previous prime is 106399987. The next prime is 106400071. The reversal of 106400033 is 330004601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 330004601 = 29 ⋅11379469.

It can be written as a sum of positive squares in 2 ways, for example, as 55234624 + 51165409 = 7432^2 + 7153^2 .

It is a cyclic number.

It is not a de Polignac number, because 106400033 - 2²⁶ = 39291169 is a prime.

It is a super-2 number, since 2×106400033² = 22641934044802178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106399984 and 106400020.

It is not an unprimeable number, because it can be changed into a prime (106400233) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50468 + ... + 52533.

It is an arithmetic number, because the mean of its divisors is an integer number (26626017).

Almost surely, 2^106400033 is an apocalyptic number.

It is an amenable number.

106400033 is a deficient number, since it is larger than the sum of its proper divisors (104035).

106400033 is a wasteful number, since it uses less digits than its factorization.

106400033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104034.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 106400033 is about 10315.0391661884. The cubic root of 106400033 is about 473.8569494203.

Adding to 106400033 its reverse (330004601), we get a palindrome (436404634).

The spelling of 106400033 in words is "one hundred six million, four hundred thousand, thirty-three".