Search a number
-
+
105819457 is a prime number
BaseRepresentation
bin1100100111010…
…10110101000001
321101010012000011
412103222311001
5204042210312
614300024521
72423310352
oct623526501
9241105004
10105819457
11548067a7
122b532141
1318c00583
14100a7d29
159453da7
hex64ead41

105819457 has 2 divisors, whose sum is σ = 105819458. Its totient is φ = 105819456.

The previous prime is 105819451. The next prime is 105819479. The reversal of 105819457 is 754918501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89851441 + 15968016 = 9479^2 + 3996^2 .

It is an emirp because it is prime and its reverse (754918501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105819457 - 211 = 105817409 is a prime.

It is a super-2 number, since 2×1058194572 = 22395514959549698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105819451) 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, 52909728 + 52909729.

It is an arithmetic number, because the mean of its divisors is an integer number (52909729).

Almost surely, 2105819457 is an apocalyptic number.

It is an amenable number.

105819457 is a deficient number, since it is larger than the sum of its proper divisors (1).

105819457 is an equidigital number, since it uses as much as digits as its factorization.

105819457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 40.

The square root of 105819457 is about 10286.8584611630. The cubic root of 105819457 is about 472.9935039566.

It can be divided in two parts, 105819 and 457, that added together give a square (106276 = 3262).

The spelling of 105819457 in words is "one hundred five million, eight hundred nineteen thousand, four hundred fifty-seven".