10233523255105 has 16 divisors (see below), whose sum is σ = 12710510643600. Its totient is φ = 7900266850560.

The previous prime is 10233523255099. The next prime is 10233523255117. The reversal of 10233523255105 is 50155232533201.

It can be written as a sum of positive squares in 8 ways, for example, as 4758990243121 + 5474533011984 = 2181511^2 + 2339772^2 .

It is not a de Polignac number, because 10233523255105 - 2²⁵ = 10233489700673 is a prime.

It is a super-2 number, since 2×10233523255105² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18692010 + ... + 19231699.

It is an arithmetic number, because the mean of its divisors is an integer number (794406915225).

Almost surely, 2^{10233523255105} is an apocalyptic number.

It is an amenable number.

10233523255105 is a deficient number, since it is larger than the sum of its proper divisors (2476987388495).

10233523255105 is a wasteful number, since it uses less digits than its factorization.

10233523255105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37925604.

The product of its (nonzero) digits is 135000, while the sum is 37.

Adding to 10233523255105 its reverse (50155232533201), we get a palindrome (60388755788306).

The spelling of 10233523255105 in words is "ten trillion, two hundred thirty-three billion, five hundred twenty-three million, two hundred fifty-five thousand, one hundred five".