1000610105 has 12 divisors (see below), whose sum is σ = 1319813796. Its totient is φ = 727716000.

The previous prime is 1000610099. The next prime is 1000610189. The reversal of 1000610105 is 5010160001.

1000610105 is digitally balanced in base 2, 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 2 ways, for example, as 402122809 + 598487296 = 20053^2 + 24464^2 .

It is not a de Polignac number, because 1000610105 - 2⁶ = 1000610041 is a prime.

It is a super-2 number, since 2×1000610105² = 2002441164456222050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000610105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826346 + ... + 827555.

It is an arithmetic number, because the mean of its divisors is an integer number (109984483).

Almost surely, 2^1000610105 is an apocalyptic number.

It is an amenable number.

1000610105 is a deficient number, since it is larger than the sum of its proper divisors (319203691).

1000610105 is a wasteful number, since it uses less digits than its factorization.

1000610105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653928 (or 1653917 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 1000610105 is about 31632.4217378309. The cubic root of 1000610105 is about 1000.2033269887.

Adding to 1000610105 its reverse (5010160001), we get a palindrome (6010770106).

The spelling of 1000610105 in words is "one billion, six hundred ten thousand, one hundred five".