105673212 has 36 divisors (see below), whose sum is σ = 281179080. Its totient is φ = 33370272.

The previous prime is 105673151. The next prime is 105673213. The reversal of 105673212 is 212376501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105673212² = 22333655468793888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105673213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76563 + ... + 77930.

It is an arithmetic number, because the mean of its divisors is an integer number (7810530).

Almost surely, 2^105673212 is an apocalyptic number.

105673212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105673212 is an abundant number, since it is smaller than the sum of its proper divisors (175505868).

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

105673212 is a wasteful number, since it uses less digits than its factorization.

105673212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154522 (or 154517 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105673212 is about 10279.7476622726. The cubic root of 105673212 is about 472.7755074191.

The spelling of 105673212 in words is "one hundred five million, six hundred seventy-three thousand, two hundred twelve".