Search a number
-
+
105912971 is a prime number
BaseRepresentation
bin1100101000000…
…01101010001011
321101021221021122
412110001222023
5204103203341
614302025455
72424150113
oct624015213
9241257248
10105912971
115486aa8a
122b57828b
1318c33cc8
14100d0043
15947194b
hex6501a8b

105912971 has 2 divisors, whose sum is σ = 105912972. Its totient is φ = 105912970.

The previous prime is 105912967. The next prime is 105912991. The reversal of 105912971 is 179219501.

It is a weak prime.

It is an emirp because it is prime and its reverse (179219501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105912971 - 22 = 105912967 is a prime.

It is a super-2 number, since 2×1059129712 = 22435114852093682, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105912931) 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, 52956485 + 52956486.

It is an arithmetic number, because the mean of its divisors is an integer number (52956486).

Almost surely, 2105912971 is an apocalyptic number.

105912971 is a deficient number, since it is larger than the sum of its proper divisors (1).

105912971 is an equidigital number, since it uses as much as digits as its factorization.

105912971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 35.

The square root of 105912971 is about 10291.4027712455. The cubic root of 105912971 is about 473.1327930592.

The spelling of 105912971 in words is "one hundred five million, nine hundred twelve thousand, nine hundred seventy-one".