105130363 has 16 divisors (see below), whose sum is σ = 126191520. Its totient is φ = 86524416.

The previous prime is 105130351. The next prime is 105130367. The reversal of 105130363 is 363031501.

It is a cyclic number.

It is not a de Polignac number, because 105130363 - 2²¹ = 103033211 is a prime.

It is a super-2 number, since 2×105130363² = 22104786449023538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105130367) 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, 8320 + ... + 16717.

It is an arithmetic number, because the mean of its divisors is an integer number (7886970).

Almost surely, 2^105130363 is an apocalyptic number.

105130363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105130363 is a deficient number, since it is larger than the sum of its proper divisors (21061157).

105130363 is a wasteful number, since it uses less digits than its factorization.

105130363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25086.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 105130363 is about 10253.3098558466. The cubic root of 105130363 is about 471.9645594260.

Adding to 105130363 its reverse (363031501), we get a palindrome (468161864).

The spelling of 105130363 in words is "one hundred five million, one hundred thirty thousand, three hundred sixty-three".