105030947 has 32 divisors (see below), whose sum is σ = 131880960. Its totient is φ = 81607680.

The previous prime is 105030931. The next prime is 105030973. The reversal of 105030947 is 749030501.

It is not a de Polignac number, because 105030947 - 2⁴ = 105030931 is a prime.

It is a super-2 number, since 2×105030947² = 22062999655433618, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105030907) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 497672 + ... + 497882.

It is an arithmetic number, because the mean of its divisors is an integer number (4121280).

Almost surely, 2^105030947 is an apocalyptic number.

105030947 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105030947 is a deficient number, since it is larger than the sum of its proper divisors (26850013).

105030947 is a wasteful number, since it uses less digits than its factorization.

105030947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 105030947 is about 10248.4607136877. The cubic root of 105030947 is about 471.8157422013.

The spelling of 105030947 in words is "one hundred five million, thirty thousand, nine hundred forty-seven".