105302847 has 16 divisors (see below), whose sum is σ = 153030528. Its totient is φ = 64019040.

The previous prime is 105302837. The next prime is 105302887. The reversal of 105302847 is 748203501.

It is not a de Polignac number, because 105302847 - 2¹⁴ = 105286463 is a prime.

It is a super-2 number, since 2×105302847² = 22177379172610818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105302837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13029 + ... + 19502.

It is an arithmetic number, because the mean of its divisors is an integer number (9564408).

Almost surely, 2^105302847 is an apocalyptic number.

105302847 is a deficient number, since it is larger than the sum of its proper divisors (47727681).

105302847 is a wasteful number, since it uses less digits than its factorization.

105302847 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32630.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 105302847 is about 10261.7175462980. The cubic root of 105302847 is about 472.2225307454. Note that the first 3 decimals are identical.

The spelling of 105302847 in words is "one hundred five million, three hundred two thousand, eight hundred forty-seven".