105610501006 has 16 divisors (see below), whose sum is σ = 163905366240. Its totient is φ = 50975979040.

The previous prime is 105610501001. The next prime is 105610501013. The reversal of 105610501006 is 600105016501.

105610501006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105610501006² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105610501001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212511 + ... + 506341.

It is an arithmetic number, because the mean of its divisors is an integer number (10244085390).

Almost surely, 2^105610501006 is an apocalyptic number.

105610501006 is a deficient number, since it is larger than the sum of its proper divisors (58294865234).

105610501006 is a wasteful number, since it uses less digits than its factorization.

105610501006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300059.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 105610501006 its reverse (600105016501), we get a palindrome (705715517507).

The spelling of 105610501006 in words is "one hundred five billion, six hundred ten million, five hundred one thousand, six".