105000010 has 16 divisors (see below), whose sum is σ = 195517800. Its totient is φ = 40551616.

The previous prime is 105000001. The next prime is 105000019. The reversal of 105000010 is 10000501.

It is an interprime number because it is at equal distance from previous prime (105000001) and next prime (105000019).

It can be written as a sum of positive squares in 4 ways, for example, as 87216921 + 17783089 = 9339^2 + 4217^2 .

It is a super-2 number, since 2×105000010² = 22050004200000200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104999957 and 105000002.

It is not an unprimeable number, because it can be changed into a prime (105000019) 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, 180745 + ... + 181324.

Almost surely, 2^105000010 is an apocalyptic number.

105000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105000010 is a deficient number, since it is larger than the sum of its proper divisors (90517790).

105000010 is a wasteful number, since it uses less digits than its factorization.

105000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362105.

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 105000010 is about 10246.9512539096. The cubic root of 105000010 is about 471.7694130085.

Adding to 105000010 its reverse (10000501), we get a palindrome (115000511).

The spelling of 105000010 in words is "one hundred five million, ten", and thus it is an aban number.