105065712 has 120 divisors (see below), whose sum is σ = 314417376. Its totient is φ = 32636928.

The previous prime is 105065699. The next prime is 105065717. The reversal of 105065712 is 217560501.

105065712 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 657 + 1 + 2 = 666.

It is a super-2 number, since 2×105065712² = 22077607676133888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105065717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408688 + ... + 408944.

Almost surely, 2^105065712 is an apocalyptic number.

105065712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105065712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157208688).

105065712 is an abundant number, since it is smaller than the sum of its proper divisors (209351664).

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

105065712 is a wasteful number, since it uses less digits than its factorization.

105065712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105065712 is about 10250.1566817293. The cubic root of 105065712 is about 471.8677930978.

The spelling of 105065712 in words is "one hundred five million, sixty-five thousand, seven hundred twelve".