105605010011100 has 72 divisors (see below), whose sum is σ = 311315599370160. Its totient is φ = 27629990036480.

The previous prime is 105605010011087. The next prime is 105605010011101. The reversal of 105605010011100 is 1110010506501.

It is a happy number.

It is a super-2 number, since 2×105605010011100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605010011101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3320896365 + ... + 3320928164.

It is an arithmetic number, because the mean of its divisors is an integer number (4323827769030).

Almost surely, 2^{105605010011100} is an apocalyptic number.

105605010011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105605010011100 is an abundant number, since it is smaller than the sum of its proper divisors (205710589359060).

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

105605010011100 is a wasteful number, since it uses less digits than its factorization.

105605010011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641824599 (or 6641824592 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 105605010011100 its reverse (1110010506501), we get a palindrome (106715020517601).

The spelling of 105605010011100 in words is "one hundred five trillion, six hundred five billion, ten million, eleven thousand, one hundred".