Search a number
-
+
105868093 is a prime number
BaseRepresentation
bin1100100111101…
…10101100111101
321101012122201111
412103312230331
5204100234333
614301042021
72423602222
oct623665475
9241178644
10105868093
115483a2a1
122b556311
1318c19756
14100bb949
1594634cd
hex64f6b3d

105868093 has 2 divisors, whose sum is σ = 105868094. Its totient is φ = 105868092.

The previous prime is 105868079. The next prime is 105868097. The reversal of 105868093 is 390868501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102475129 + 3392964 = 10123^2 + 1842^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105868093 is a prime.

It is a super-2 number, since 2×1058680932 = 22416106230913298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105868097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52934046 + 52934047.

It is an arithmetic number, because the mean of its divisors is an integer number (52934047).

Almost surely, 2105868093 is an apocalyptic number.

It is an amenable number.

105868093 is a deficient number, since it is larger than the sum of its proper divisors (1).

105868093 is an equidigital number, since it uses as much as digits as its factorization.

105868093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 105868093 is about 10289.2221766273. Note that the first 3 decimals coincide. The cubic root of 105868093 is about 473.0659575148.

The spelling of 105868093 in words is "one hundred five million, eight hundred sixty-eight thousand, ninety-three".