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105344326161 = 32191861331031
BaseRepresentation
bin110001000011100000…
…0101101101000010001
3101001220121221020111200
41202013000231220101
53211221121414121
6120221114301413
710416346666224
oct1420700555021
9331817836450
10105344326161
1140749142488
12184bb727869
139c1aab8b09
145154b535bb
152b18508a26
hex188702da11

105344326161 has 24 divisors (see below), whose sum is σ = 160259211840. Its totient is φ = 66497306400.

The previous prime is 105344326097. The next prime is 105344326177. The reversal of 105344326161 is 161623443501.

105344326161 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 4 + 32 + 616 + 1 = 666.

It is not a de Polignac number, because 105344326161 - 26 = 105344326097 is a prime.

It is a super-2 number, since 2×1053443261612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105344326361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152716 + ... + 483746.

It is an arithmetic number, because the mean of its divisors is an integer number (6677467160).

Almost surely, 2105344326161 is an apocalyptic number.

It is an amenable number.

105344326161 is a deficient number, since it is larger than the sum of its proper divisors (54914885679).

105344326161 is a wasteful number, since it uses less digits than its factorization.

105344326161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332917 (or 332914 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 105344326161 its reverse (161623443501), we get a palindrome (266967769662).

The spelling of 105344326161 in words is "one hundred five billion, three hundred forty-four million, three hundred twenty-six thousand, one hundred sixty-one".

Divisors: 1 3 9 19 57 171 1861 5583 16749 35359 106077 318231 331031 993093 2979279 6289589 18868767 56606301 616048691 1848146073 5544438219 11704925129 35114775387 105344326161