105072847 has 4 divisors (see below), whose sum is σ = 114624936. Its totient is φ = 95520760.

The previous prime is 105072841. The next prime is 105072889. The reversal of 105072847 is 748270501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 748270501 = 11 ⋅68024591.

It is a cyclic number.

It is not a de Polignac number, because 105072847 - 2⁷ = 105072719 is a prime.

It is a super-2 number, since 2×105072847² = 22080606353370818, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105072841) 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 3 ways as a sum of consecutive naturals, for example, 4776028 + ... + 4776049.

It is an arithmetic number, because the mean of its divisors is an integer number (28656234).

Almost surely, 2^105072847 is an apocalyptic number.

105072847 is a deficient number, since it is larger than the sum of its proper divisors (9552089).

105072847 is an equidigital number, since it uses as much as digits as its factorization.

105072847 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9552088.

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 105072847 is about 10250.5047192809. The cubic root of 105072847 is about 471.8784743513.

The spelling of 105072847 in words is "one hundred five million, seventy-two thousand, eight hundred forty-seven".