105610610001 has 32 divisors (see below), whose sum is σ = 159191101440. Its totient is φ = 61828603200.

The previous prime is 105610609981. The next prime is 105610610003. The reversal of 105610610001 is 100016016501.

It is not a de Polignac number, because 105610610001 - 2⁷ = 105610609873 is a prime.

It is a super-2 number, since 2×105610610001² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105610610001.

It is not an unprimeable number, because it can be changed into a prime (105610610003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668955 + ... + 811616.

It is an arithmetic number, because the mean of its divisors is an integer number (4974721920).

Almost surely, 2^105610610001 is an apocalyptic number.

It is an amenable number.

105610610001 is a deficient number, since it is larger than the sum of its proper divisors (53580491439).

105610610001 is a wasteful number, since it uses less digits than its factorization.

105610610001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480677.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 105610610001 its reverse (100016016501), we get a palindrome (205626626502).

The spelling of 105610610001 in words is "one hundred five billion, six hundred ten million, six hundred ten thousand, one".