100414233 has 12 divisors (see below), whose sum is σ = 145796820. Its totient is φ = 66594816.

The previous prime is 100414219. The next prime is 100414241. The reversal of 100414233 is 332414001.

It can be written as a sum of positive squares in 2 ways, for example, as 34609689 + 65804544 = 5883^2 + 8112^2 .

It is not a de Polignac number, because 100414233 - 2¹⁶ = 100348697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100414243) 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, 27168 + ... + 30641.

It is an arithmetic number, because the mean of its divisors is an integer number (12149735).

Almost surely, 2^100414233 is an apocalyptic number.

It is an amenable number.

100414233 is a deficient number, since it is larger than the sum of its proper divisors (45382587).

100414233 is a wasteful number, since it uses less digits than its factorization.

100414233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58008 (or 58005 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100414233 is about 10020.6902456867. The cubic root of 100414233 is about 464.7989002085.

Adding to 100414233 its reverse (332414001), we get a palindrome (432828234).

The spelling of 100414233 in words is "one hundred million, four hundred fourteen thousand, two hundred thirty-three".