105010016106010 has 64 divisors (see below), whose sum is σ = 193144019443200. Its totient is φ = 41088093115392.

The previous prime is 105010016106007. The next prime is 105010016106011. The reversal of 105010016106010 is 10601610010501.

It is a super-2 number, since 2×105010016106010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105010016106011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9466326024 + ... + 9466337116.

It is an arithmetic number, because the mean of its divisors is an integer number (3017875303800).

Almost surely, 2^{105010016106010} is an apocalyptic number.

105010016106010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105010016106010 is a deficient number, since it is larger than the sum of its proper divisors (88134003337190).

105010016106010 is a wasteful number, since it uses less digits than its factorization.

105010016106010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20215.

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 105010016106010 its reverse (10601610010501), we get a palindrome (115611626116511).

The spelling of 105010016106010 in words is "one hundred five trillion, ten billion, sixteen million, one hundred six thousand, ten".