105302712 has 64 divisors (see below), whose sum is σ = 286704000. Its totient is φ = 32102784.

The previous prime is 105302711. The next prime is 105302713. The reversal of 105302712 is 217203501.

It is an interprime number because it is at equal distance from previous prime (105302711) and next prime (105302713).

It is a super-2 number, since 2×105302712² = 22177322309109888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105302711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9243 + ... + 17205.

It is an arithmetic number, because the mean of its divisors is an integer number (4479750).

Almost surely, 2^105302712 is an apocalyptic number.

105302712 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 105302712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143352000).

105302712 is an abundant number, since it is smaller than the sum of its proper divisors (181401288).

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

105302712 is a wasteful number, since it uses less digits than its factorization.

105302712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8020 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105302712 is about 10261.7109684497. The cubic root of 105302712 is about 472.2223289463. Note that the first 3 decimals are identical.

The spelling of 105302712 in words is "one hundred five million, three hundred two thousand, seven hundred twelve".