105306632255 has 16 divisors (see below), whose sum is σ = 139600972800. Its totient is φ = 75617187360.

The previous prime is 105306632177. The next prime is 105306632257. The reversal of 105306632255 is 552236603501.

It is not a de Polignac number, because 105306632255 - 2¹⁰ = 105306631231 is a prime.

It is a super-2 number, since 2×105306632255² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105306632257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12113795 + ... + 12122484.

It is an arithmetic number, because the mean of its divisors is an integer number (8725060800).

Almost surely, 2^105306632255 is an apocalyptic number.

105306632255 is a deficient number, since it is larger than the sum of its proper divisors (34294340545).

105306632255 is a wasteful number, since it uses less digits than its factorization.

105306632255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24236374.

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 105306632255 in words is "one hundred five billion, three hundred six million, six hundred thirty-two thousand, two hundred fifty-five".