105165010 has 8 divisors (see below), whose sum is σ = 189297036. Its totient is φ = 42066000.

The previous prime is 105164977. The next prime is 105165023. The reversal of 105165010 is 10561501.

It can be written as a sum of positive squares in 2 ways, for example, as 103774969 + 1390041 = 10187^2 + 1179^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105165010² = 22119358656600200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5258241 + ... + 5258260.

Almost surely, 2^105165010 is an apocalyptic number.

105165010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105165010 is a deficient number, since it is larger than the sum of its proper divisors (84132026).

105165010 is a wasteful number, since it uses less digits than its factorization.

105165010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516508.

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

The square root of 105165010 is about 10254.9992686494. Note that the first 3 decimals coincide. The cubic root of 105165010 is about 472.0164009670.

The spelling of 105165010 in words is "one hundred five million, one hundred sixty-five thousand, ten".