Search a number
-
+
105170731 is a prime number
BaseRepresentation
bin1100100010011…
…00011100101011
321022220020010021
412101030130223
5203410430411
614234101311
72414636131
oct621143453
9238806107
10105170731
1154403366
122b27a837
1318a34203
14dd79751
159376a71
hex644c72b

105170731 has 2 divisors, whose sum is σ = 105170732. Its totient is φ = 105170730.

The previous prime is 105170729. The next prime is 105170749. The reversal of 105170731 is 137071501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105170731 - 21 = 105170729 is a prime.

It is a super-2 number, since 2×1051707312 = 22121765318148722, which contains 22 as substring.

Together with 105170729, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105170696 and 105170705.

It is not a weakly prime, because it can be changed into another prime (105170531) 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, 52585365 + 52585366.

It is an arithmetic number, because the mean of its divisors is an integer number (52585366).

Almost surely, 2105170731 is an apocalyptic number.

105170731 is a deficient number, since it is larger than the sum of its proper divisors (1).

105170731 is an equidigital number, since it uses as much as digits as its factorization.

105170731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735, while the sum is 25.

The square root of 105170731 is about 10255.2782019797. The cubic root of 105170731 is about 472.0249600776.

The spelling of 105170731 in words is "one hundred five million, one hundred seventy thousand, seven hundred thirty-one".