105605501006100 has 72 divisors (see below), whose sum is σ = 305622177991200. Its totient is φ = 28154991198080.

The previous prime is 105605501006017. The next prime is 105605501006107. The reversal of 105605501006100 is 1600105506501.

It is a super-3 number, since 3×105605501006100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605501006107) 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 23 ways as a sum of consecutive naturals, for example, 39166482 + ... + 41775881.

It is an arithmetic number, because the mean of its divisors is an integer number (4244752472100).

Almost surely, 2^{105605501006100} is an apocalyptic number.

105605501006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105605501006100 is an abundant number, since it is smaller than the sum of its proper divisors (200016676985100).

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

105605501006100 is a wasteful number, since it uses less digits than its factorization.

105605501006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80946729 (or 80946722 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105605501006100 in words is "one hundred five trillion, six hundred five billion, five hundred one million, six thousand, one hundred".