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105104053981 is a prime number
BaseRepresentation
bin110000111100010110…
…0001001011011011101
3101001021212211011001001
41201320230021123131
53210223114211411
6120141212350301
710410401501233
oct1417054113335
9331255734031
10105104053981
1140635553433
1218453175391
139bb00a1124
145130c8a953
152b02396dc1
hex1878b096dd

105104053981 has 2 divisors, whose sum is σ = 105104053982. Its totient is φ = 105104053980.

The previous prime is 105104053979. The next prime is 105104054051. The reversal of 105104053981 is 189350401501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97880753881 + 7223300100 = 312859^2 + 84990^2 .

It is a cyclic number.

It is not a de Polignac number, because 105104053981 - 21 = 105104053979 is a prime.

It is a super-2 number, since 2×1051040539812 (a number of 23 digits) contains 22 as substring.

Together with 105104053979, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 105104053981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105104053931) 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, 52552026990 + 52552026991.

It is an arithmetic number, because the mean of its divisors is an integer number (52552026991).

Almost surely, 2105104053981 is an apocalyptic number.

It is an amenable number.

105104053981 is a deficient number, since it is larger than the sum of its proper divisors (1).

105104053981 is an equidigital number, since it uses as much as digits as its factorization.

105104053981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 105104053981 in words is "one hundred five billion, one hundred four million, fifty-three thousand, nine hundred eighty-one".