105011100061100 has 72 divisors (see below), whose sum is σ = 236006886155040. Its totient is φ = 40508686865920.

The previous prime is 105011100061081. The next prime is 105011100061103. The reversal of 105011100061100 is 1160001110501.

It is a super-2 number, since 2×105011100061100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105011100061103) 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 23 ways as a sum of consecutive naturals, for example, 18641144 + ... + 23611743.

It is an arithmetic number, because the mean of its divisors is an integer number (3277873418820).

Almost surely, 2^{105011100061100} is an apocalyptic number.

105011100061100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105011100061100 is an abundant number, since it is smaller than the sum of its proper divisors (130995786093940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105011100061100 is a wasteful number, since it uses less digits than its factorization.

105011100061100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42253787 (or 42253780 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 105011100061100 its reverse (1160001110501), we get a palindrome (106171101171601).

The spelling of 105011100061100 in words is "one hundred five trillion, eleven billion, one hundred million, sixty-one thousand, one hundred".