105556010001 has 16 divisors (see below), whose sum is σ = 151664170560. Its totient is φ = 64916159040.

The previous prime is 105556009963. The next prime is 105556010023. The reversal of 105556010001 is 100010655501.

It is not a de Polignac number, because 105556010001 - 2¹⁷ = 105555878929 is a prime.

It is a super-2 number, since 2×105556010001² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105556010051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800146 + ... + 922683.

It is an arithmetic number, because the mean of its divisors is an integer number (9479010660).

Almost surely, 2^105556010001 is an apocalyptic number.

It is an amenable number.

105556010001 is a deficient number, since it is larger than the sum of its proper divisors (46108160559).

105556010001 is a wasteful number, since it uses less digits than its factorization.

105556010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724416.

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

Adding to 105556010001 its reverse (100010655501), we get a palindrome (205566665502).

The spelling of 105556010001 in words is "one hundred five billion, five hundred fifty-six million, ten thousand, one".