105010005610 has 16 divisors (see below), whose sum is σ = 189085833000. Its totient is φ = 41988930496.

The previous prime is 105010005593. The next prime is 105010005629. The reversal of 105010005610 is 16500010501.

105010005610 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 61299322569 + 43710683041 = 247587^2 + 209071^2 .

It is a super-2 number, since 2×105010005610² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1854685 + ... + 1910464.

Almost surely, 2^105010005610 is an apocalyptic number.

105010005610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105010005610 is a deficient number, since it is larger than the sum of its proper divisors (84075827390).

105010005610 is a wasteful number, since it uses less digits than its factorization.

105010005610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767945.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 105010005610 in words is "one hundred five billion, ten million, five thousand, six hundred ten".