105215112 has 56 divisors (see below), whose sum is σ = 295798590. Its totient is φ = 35069760.

The previous prime is 105215069. The next prime is 105215137. The reversal of 105215112 is 211512501.

It can be written as a sum of positive squares in only one way, i.e., 104162436 + 1052676 = 10206^2 + 1026^2 .

It is a super-2 number, since 2×105215112² = 22140439586345088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 13 ways as a sum of consecutive naturals, for example, 3189 + ... + 14852.

Almost surely, 2^105215112 is an apocalyptic number.

105215112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105215112 is an abundant number, since it is smaller than the sum of its proper divisors (190583478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105215112 is an equidigital number, since it uses as much as digits as its factorization.

105215112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18065 (or 18046 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 105215112 is about 10257.4417863325. The cubic root of 105215112 is about 472.0913473494.

Adding to 105215112 its reverse (211512501), we get a palindrome (316727613).

The spelling of 105215112 in words is "one hundred five million, two hundred fifteen thousand, one hundred twelve".