105500500010 has 16 divisors (see below), whose sum is σ = 190312840872. Its totient is φ = 42108657600.

The previous prime is 105500499977. The next prime is 105500500067. The reversal of 105500500010 is 10005005501.

It can be written as a sum of positive squares in 4 ways, for example, as 83522734009 + 21977766001 = 289003^2 + 148249^2 .

It is a super-2 number, since 2×105500500010² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11437961 + ... + 11447180.

Almost surely, 2^105500500010 is an apocalyptic number.

105500500010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105500500010 is a deficient number, since it is larger than the sum of its proper divisors (84812340862).

105500500010 is a wasteful number, since it uses less digits than its factorization.

105500500010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22885609.

The product of its (nonzero) digits is 125, while the sum is 17.

Adding to 105500500010 its reverse (10005005501), we get a palindrome (115505505511).

The spelling of 105500500010 in words is "one hundred five billion, five hundred million, five hundred thousand, ten".