102221405 has 48 divisors (see below), whose sum is σ = 149213232. Its totient is φ = 66739200.

The previous prime is 102221401. The next prime is 102221429. The reversal of 102221405 is 504122201.

It can be written as a sum of positive squares in 8 ways, for example, as 54804409 + 47416996 = 7403^2 + 6886^2 .

It is not a de Polignac number, because 102221405 - 2² = 102221401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322307 + ... + 322623.

It is an arithmetic number, because the mean of its divisors is an integer number (3108609).

Almost surely, 2^102221405 is an apocalyptic number.

It is an amenable number.

102221405 is a deficient number, since it is larger than the sum of its proper divisors (46991827).

102221405 is a wasteful number, since it uses less digits than its factorization.

102221405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 102221405 is about 10110.4601774598. The cubic root of 102221405 is about 467.5706928852.

Adding to 102221405 its reverse (504122201), we get a palindrome (606343606).

The spelling of 102221405 in words is "one hundred two million, two hundred twenty-one thousand, four hundred five".