105000610000008 has 64 divisors (see below), whose sum is σ = 266376043604160. Its totient is φ = 34486779949056.

The previous prime is 105000609999991. The next prime is 105000610000019. The reversal of 105000610000008 is 800000016000501.

It is a super-2 number, since 2×105000610000008² (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 15 ways as a sum of consecutive naturals, for example, 98818141 + ... + 99875052.

It is an arithmetic number, because the mean of its divisors is an integer number (4162125681315).

Almost surely, 2^{105000610000008} is an apocalyptic number.

It is an amenable number.

105000610000008 is an abundant number, since it is smaller than the sum of its proper divisors (161375433604152).

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

105000610000008 is a wasteful number, since it uses less digits than its factorization.

105000610000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198693526 (or 198693522 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 105000610000008 its reverse (800000016000501), we get a palindrome (905000626000509).

The spelling of 105000610000008 in words is "one hundred five trillion, six hundred ten million, eight", and thus it is an aban number.