Search a number
-
+
105531607 is a prime number
BaseRepresentation
bin1100100101001…
…00100011010111
321100120120011001
412102210203113
5204004002412
614245524131
72421001216
oct622444327
9240516131
10105531607
115462a505
122b413647
1318b2c54c
141003107d
1593e8957
hex64a48d7

105531607 has 2 divisors, whose sum is σ = 105531608. Its totient is φ = 105531606.

The previous prime is 105531599. The next prime is 105531641. The reversal of 105531607 is 706135501.

It is a weak prime.

It is an emirp because it is prime and its reverse (706135501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105531607 - 23 = 105531599 is a prime.

It is a super-2 number, since 2×1055316072 = 22273840152004898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105531677) 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, 52765803 + 52765804.

It is an arithmetic number, because the mean of its divisors is an integer number (52765804).

Almost surely, 2105531607 is an apocalyptic number.

105531607 is a deficient number, since it is larger than the sum of its proper divisors (1).

105531607 is an equidigital number, since it uses as much as digits as its factorization.

105531607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 105531607 is about 10272.8577815523. The cubic root of 105531607 is about 472.5642356423.

The spelling of 105531607 in words is "one hundred five million, five hundred thirty-one thousand, six hundred seven".