105100506105 has 16 divisors (see below), whose sum is σ = 192183782784. Its totient is φ = 48045945600.

The previous prime is 105100506073. The next prime is 105100506187. The reversal of 105100506105 is 501605001501.

It is not a de Polignac number, because 105100506105 - 2⁵ = 105100506073 is a prime.

It is a super-2 number, since 2×105100506105² (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 15 ways as a sum of consecutive naturals, for example, 500478496 + ... + 500478705.

It is an arithmetic number, because the mean of its divisors is an integer number (12011486424).

Almost surely, 2^105100506105 is an apocalyptic number.

105100506105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105100506105 is a deficient number, since it is larger than the sum of its proper divisors (87083276679).

105100506105 is a wasteful number, since it uses less digits than its factorization.

105100506105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000957216.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 105100506105 its reverse (501605001501), we get a palindrome (606705507606).

The spelling of 105100506105 in words is "one hundred five billion, one hundred million, five hundred six thousand, one hundred five".