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105038363 is a prime number
BaseRepresentation
bin1100100001011…
…00001000011011
321022122111112202
412100230020123
5203342211423
614231200415
72413545203
oct620541033
9238574482
10105038363
1154322971
122b21610b
13189b8ba1
14dd43403
15934c728
hex642c21b

105038363 has 2 divisors, whose sum is σ = 105038364. Its totient is φ = 105038362.

The previous prime is 105038357. The next prime is 105038371. The reversal of 105038363 is 363830501.

It is a weak prime.

It is an emirp because it is prime and its reverse (363830501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105038363 - 26 = 105038299 is a prime.

It is a super-2 number, since 2×1050383632 = 22066115403439538, which contains 22 as substring.

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

It is equal to p6034763 and since 105038363 and 6034763 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105038303) 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 as a sum of consecutive naturals, namely, 52519181 + 52519182.

It is an arithmetic number, because the mean of its divisors is an integer number (52519182).

Almost surely, 2105038363 is an apocalyptic number.

105038363 is a deficient number, since it is larger than the sum of its proper divisors (1).

105038363 is an equidigital number, since it uses as much as digits as its factorization.

105038363 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 105038363 is about 10248.8225177334. The cubic root of 105038363 is about 471.8268465577.

Adding to 105038363 its reverse (363830501), we get a palindrome (468868864).

The spelling of 105038363 in words is "one hundred five million, thirty-eight thousand, three hundred sixty-three".