105032363 has 2 divisors, whose sum is σ = 105032364. Its totient is φ = 105032362.

The previous prime is 105032353. The next prime is 105032383. The reversal of 105032363 is 363230501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105032363 - 2⁶ = 105032299 is a prime.

It is a super-2 number, since 2×105032363² = 22063594554727538, which contains 22 as substring.

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

It is not a weakly prime, because it can be changed into another prime (105032353) 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 as a sum of consecutive naturals, namely, 52516181 + 52516182.

It is an arithmetic number, because the mean of its divisors is an integer number (52516182).

Almost surely, 2^105032363 is an apocalyptic number.

105032363 is a deficient number, since it is larger than the sum of its proper divisors (1).

105032363 is an equidigital number, since it uses as much as digits as its factorization.

105032363 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 105032363 is about 10248.5297970002. The cubic root of 105032363 is about 471.8178624910.

Adding to 105032363 its reverse (363230501), we get a palindrome (468262864).

The spelling of 105032363 in words is "one hundred five million, thirty-two thousand, three hundred sixty-three".