102033441 has 12 divisors (see below), whose sum is σ = 147888468. Its totient is φ = 67788384.

The previous prime is 102033413. The next prime is 102033443. The reversal of 102033441 is 144330201.

It can be written as a sum of positive squares in 2 ways, for example, as 92448225 + 9585216 = 9615^2 + 3096^2 .

It is not a de Polignac number, because 102033441 - 2⁵ = 102033409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102033443) 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, 16710 + ... + 21983.

It is an arithmetic number, because the mean of its divisors is an integer number (12324039).

Almost surely, 2^102033441 is an apocalyptic number.

It is an amenable number.

102033441 is a deficient number, since it is larger than the sum of its proper divisors (45855027).

102033441 is a wasteful number, since it uses less digits than its factorization.

102033441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38992 (or 38989 counting only the distinct ones).

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

The square root of 102033441 is about 10101.1603788872. The cubic root of 102033441 is about 467.2839284802.

Adding to 102033441 its reverse (144330201), we get a palindrome (246363642).

The spelling of 102033441 in words is "one hundred two million, thirty-three thousand, four hundred forty-one".