105561106010000 has 100 divisors (see below), whose sum is σ = 255603759514752. Its totient is φ = 42219524688000.

The previous prime is 105561106009987. The next prime is 105561106010011. The reversal of 105561106010000 is 10601165501.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×105561106010000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85859609 + ... + 87080391.

Almost surely, 2^{105561106010000} is an apocalyptic number.

105561106010000 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 105561106010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127801879757376).

105561106010000 is an abundant number, since it is smaller than the sum of its proper divisors (150042653504752).

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

105561106010000 is an equidigital number, since it uses as much as digits as its factorization.

105561106010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229458 (or 1229437 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 105561106010000 its reverse (10601165501), we get a palindrome (105571707175501).

The spelling of 105561106010000 in words is "one hundred five trillion, five hundred sixty-one billion, one hundred six million, ten thousand".