105006112 has 12 divisors (see below), whose sum is σ = 206730846. Its totient is φ = 52503040.

The previous prime is 105006079. The next prime is 105006149. The reversal of 105006112 is 211600501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 89038096 + 15968016 = 9436^2 + 3996^2 .

It is a super-2 number, since 2×105006112² = 22052567114713088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1640689 + ... + 1640752.

Almost surely, 2^105006112 is an apocalyptic number.

It is an amenable number.

105006112 is a deficient number, since it is larger than the sum of its proper divisors (101724734).

105006112 is an equidigital number, since it uses as much as digits as its factorization.

105006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281451 (or 3281443 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 105006112 is about 10247.2489966820. The cubic root of 105006112 is about 471.7785516780.

Adding to 105006112 its reverse (211600501), we get a palindrome (316606613).

The spelling of 105006112 in words is "one hundred five million, six thousand, one hundred twelve".