Search a number
-
+
105885411109 is a prime number
BaseRepresentation
bin110001010011101000…
…0110010011100100101
3101010022100002012111221
41202213100302130211
53213323131123414
6120350523500341
710435640100322
oct1424720623445
9333270065457
10105885411109
11409a6610625
12186309876b1
139ca5c2751a
1451a6961b49
152b4ac8a224
hex18a7432725

105885411109 has 2 divisors, whose sum is σ = 105885411110. Its totient is φ = 105885411108.

The previous prime is 105885411101. The next prime is 105885411131. The reversal of 105885411109 is 901114588501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105785611009 + 99800100 = 325247^2 + 9990^2 .

It is a cyclic number.

It is not a de Polignac number, because 105885411109 - 23 = 105885411101 is a prime.

It is a super-2 number, since 2×1058854111092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105885411101) 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, 52942705554 + 52942705555.

It is an arithmetic number, because the mean of its divisors is an integer number (52942705555).

Almost surely, 2105885411109 is an apocalyptic number.

It is an amenable number.

105885411109 is a deficient number, since it is larger than the sum of its proper divisors (1).

105885411109 is an equidigital number, since it uses as much as digits as its factorization.

105885411109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 43.

The spelling of 105885411109 in words is "one hundred five billion, eight hundred eighty-five million, four hundred eleven thousand, one hundred nine".