105164312 has 32 divisors (see below), whose sum is σ = 227765520. Its totient is φ = 44989440.

The previous prime is 105164291. The next prime is 105164341. The reversal of 105164312 is 213461501.

It is a super-2 number, since 2×105164312² = 22119065036866688, 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, 33653 + ... + 36644.

Almost surely, 2^105164312 is an apocalyptic number.

It is an amenable number.

105164312 is an abundant number, since it is smaller than the sum of its proper divisors (122601208).

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

105164312 is a wasteful number, since it uses less digits than its factorization.

105164312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70331 (or 70327 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105164312 is about 10254.9652364111. The cubic root of 105164312 is about 472.0153566774.

The spelling of 105164312 in words is "one hundred five million, one hundred sixty-four thousand, three hundred twelve".