105005500061100 has 72 divisors (see below), whose sum is σ = 304998076821648. Its totient is φ = 27892511539200.

The previous prime is 105005500061023. The next prime is 105005500061101. The reversal of 105005500061100 is 1160005500501.

It is a super-2 number, since 2×105005500061100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005500061101) 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, 680892421 + ... + 681046620.

Almost surely, 2^{105005500061100} is an apocalyptic number.

105005500061100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005500061100 is an abundant number, since it is smaller than the sum of its proper divisors (199992576760548).

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

105005500061100 is a wasteful number, since it uses less digits than its factorization.

105005500061100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361939315 (or 1361939308 counting only the distinct ones).

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

Adding to 105005500061100 its reverse (1160005500501), we get a palindrome (106165505561601).

The spelling of 105005500061100 in words is "one hundred five trillion, five billion, five hundred million, sixty-one thousand, one hundred".