105253212 has 24 divisors (see below), whose sum is σ = 245757456. Its totient is φ = 35060608.

The previous prime is 105253199. The next prime is 105253231. The reversal of 105253212 is 212352501.

It is a super-2 number, since 2×105253212² = 22156477272633888, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 30688 + ... + 33944.

It is an arithmetic number, because the mean of its divisors is an integer number (10239894).

Almost surely, 2^105253212 is an apocalyptic number.

105253212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105253212 is an abundant number, since it is smaller than the sum of its proper divisors (140504244).

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

105253212 is a wasteful number, since it uses less digits than its factorization.

105253212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105253212 is about 10259.2988064487. The cubic root of 105253212 is about 472.1483243031.

The spelling of 105253212 in words is "one hundred five million, two hundred fifty-three thousand, two hundred twelve".