105505010505600 has 192 divisors, whose sum is σ = 347618571872880. Its totient is φ = 28125646848000.

The previous prime is 105505010505599. The next prime is 105505010505617. The reversal of 105505010505600 is 6505010505501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105505010505600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28200930 + ... + 31722270.

Almost surely, 2^{105505010505600} is an apocalyptic number.

105505010505600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105505010505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173809285936440).

105505010505600 is an abundant number, since it is smaller than the sum of its proper divisors (242113561367280).

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

105505010505600 is a wasteful number, since it uses less digits than its factorization.

105505010505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524489 (or 3524472 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 33.

Subtracting from 105505010505600 its reverse (6505010505501), we obtain a palindrome (99000000000099).

The spelling of 105505010505600 in words is "one hundred five trillion, five hundred five billion, ten million, five hundred five thousand, six hundred".