105212196 has 108 divisors (see below), whose sum is σ = 292080880. Its totient is φ = 33067440.

The previous prime is 105212183. The next prime is 105212207. The reversal of 105212196 is 691212501.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×105212196² = 22139212374284832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 498531 + ... + 498741.

Almost surely, 2^105212196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105212196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146040440).

105212196 is an abundant number, since it is smaller than the sum of its proper divisors (186868684).

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

105212196 is an equidigital number, since it uses as much as digits as its factorization.

105212196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105212196 is about 10257.2996446433. The cubic root of 105212196 is about 472.0869860269.

Adding to 105212196 its reverse (691212501), we get a palindrome (796424697).

The spelling of 105212196 in words is "one hundred five million, two hundred twelve thousand, one hundred ninety-six".