106202352305 has 12 divisors (see below), whose sum is σ = 148249814580. Its totient is φ = 72824469984.

The previous prime is 106202352293. The next prime is 106202352391. The reversal of 106202352305 is 503253202601.

It can be written as a sum of positive squares in 2 ways, for example, as 75926700304 + 30275652001 = 275548^2 + 173999^2 .

It is not a de Polignac number, because 106202352305 - 2⁶ = 106202352241 is a prime.

It is a super-2 number, since 2×106202352305² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216739250 + ... + 216739739.

It is an arithmetic number, because the mean of its divisors is an integer number (12354151215).

Almost surely, 2^106202352305 is an apocalyptic number.

It is an amenable number.

106202352305 is a deficient number, since it is larger than the sum of its proper divisors (42047462275).

106202352305 is an equidigital number, since it uses as much as digits as its factorization.

106202352305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433479008 (or 433479001 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 106202352305 its reverse (503253202601), we get a palindrome (609455554906).

The spelling of 106202352305 in words is "one hundred six billion, two hundred two million, three hundred fifty-two thousand, three hundred five".