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105940193 is a prime number
BaseRepresentation
bin1100101000010…
…00010011100001
321101100022121212
412110020103201
5204110041233
614302355505
72424322352
oct624102341
9241308555
10105940193
1154889487
122b58bb95
1318c43508
14100d9d29
159479a48
hex65084e1

105940193 has 2 divisors, whose sum is σ = 105940194. Its totient is φ = 105940192.

The previous prime is 105940157. The next prime is 105940217. The reversal of 105940193 is 391049501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105431824 + 508369 = 10268^2 + 713^2 .

It is an emirp because it is prime and its reverse (391049501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105940193 is a prime.

It is a super-2 number, since 2×1059401932 = 22446648985754498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105940123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52970096 + 52970097.

It is an arithmetic number, because the mean of its divisors is an integer number (52970097).

Almost surely, 2105940193 is an apocalyptic number.

It is an amenable number.

105940193 is a deficient number, since it is larger than the sum of its proper divisors (1).

105940193 is an equidigital number, since it uses as much as digits as its factorization.

105940193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 105940193 is about 10292.7252465030. The cubic root of 105940193 is about 473.1733248199.

Adding to 105940193 its reverse (391049501), we get a palindrome (496989694).

The spelling of 105940193 in words is "one hundred five million, nine hundred forty thousand, one hundred ninety-three".