105212256 has 24 divisors (see below), whose sum is σ = 276182424. Its totient is φ = 35070720.

The previous prime is 105212249. The next prime is 105212299. The reversal of 105212256 is 652212501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105212256² = 22139237625219072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 547885 + ... + 548076.

It is an arithmetic number, because the mean of its divisors is an integer number (11507601).

Almost surely, 2^105212256 is an apocalyptic number.

105212256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105212256 is an abundant number, since it is smaller than the sum of its proper divisors (170970168).

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

105212256 is a wasteful number, since it uses less digits than its factorization.

105212256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095974 (or 1095966 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105212256 is about 10257.3025693893. The cubic root of 105212256 is about 472.0870757669.

Adding to 105212256 its reverse (652212501), we get a palindrome (757424757).

The spelling of 105212256 in words is "one hundred five million, two hundred twelve thousand, two hundred fifty-six".