102007233 has 12 divisors (see below), whose sum is σ = 147539028. Its totient is φ = 67914720.

The previous prime is 102007229. The next prime is 102007271. The reversal of 102007233 is 332700201.

It can be written as a sum of positive squares in 2 ways, for example, as 59861169 + 42146064 = 7737^2 + 6492^2 .

It is not a de Polignac number, because 102007233 - 2² = 102007229 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102007133) 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, 63 + ... + 14283.

It is an arithmetic number, because the mean of its divisors is an integer number (12294919).

Almost surely, 2^102007233 is an apocalyptic number.

It is an amenable number.

102007233 is a deficient number, since it is larger than the sum of its proper divisors (45531795).

102007233 is a wasteful number, since it uses less digits than its factorization.

102007233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15024 (or 15021 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 102007233 is about 10099.8630188731. The cubic root of 102007233 is about 467.2439166770.

Adding to 102007233 its reverse (332700201), we get a palindrome (434707434).

The spelling of 102007233 in words is "one hundred two million, seven thousand, two hundred thirty-three".