105505605100 has 36 divisors (see below), whose sum is σ = 261653902384. Its totient is φ = 36173350080.

The previous prime is 105505605067. The next prime is 105505605109. The reversal of 105505605100 is 1506505501.

105505605100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105505605100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (105505605109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75360447 + ... + 75361846.

Almost surely, 2^105505605100 is an apocalyptic number.

105505605100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505605100 is an abundant number, since it is smaller than the sum of its proper divisors (156148297284).

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

105505605100 is a wasteful number, since it uses less digits than its factorization.

105505605100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150722314 (or 150722307 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 105505605100 in words is "one hundred five billion, five hundred five million, six hundred five thousand, one hundred".