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105516231661 is a prime number
BaseRepresentation
bin110001001000101000…
…0011110101111101101
3101002100121101221112001
41202101100132233231
53212044123403121
6120250135012301
710423535112361
oct1422120365755
9332317357461
10105516231661
1140827186645
121854920a091
139c475b7549
14516d9012a1
152b28663991
hex189141ebed

105516231661 has 2 divisors, whose sum is σ = 105516231662. Its totient is φ = 105516231660.

The previous prime is 105516231647. The next prime is 105516231677. The reversal of 105516231661 is 166132615501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69277398436 + 36238833225 = 263206^2 + 190365^2 .

It is a cyclic number.

It is not a de Polignac number, because 105516231661 - 229 = 104979360749 is a prime.

It is a super-2 number, since 2×1055162316612 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105516231661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105516231061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52758115830 + 52758115831.

It is an arithmetic number, because the mean of its divisors is an integer number (52758115831).

Almost surely, 2105516231661 is an apocalyptic number.

It is an amenable number.

105516231661 is a deficient number, since it is larger than the sum of its proper divisors (1).

105516231661 is an equidigital number, since it uses as much as digits as its factorization.

105516231661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 105516231661 in words is "one hundred five billion, five hundred sixteen million, two hundred thirty-one thousand, six hundred sixty-one".