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105534408437 is a prime number
BaseRepresentation
bin110001001001001010…
…1110100011011110101
3101002101212121102100222
41202102111310123311
53212113302032222
6120252024344125
710424145446033
oct1422225643365
9332355542328
10105534408437
1140836471077
1218553315045
139c4b2acb33
1451720b3553
152b2a054542
hex18925746f5

105534408437 has 2 divisors, whose sum is σ = 105534408438. Its totient is φ = 105534408436.

The previous prime is 105534408389. The next prime is 105534408461. The reversal of 105534408437 is 734804435501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105520375921 + 14032516 = 324839^2 + 3746^2 .

It is a cyclic number.

It is not a de Polignac number, because 105534408437 - 28 = 105534408181 is a prime.

It is a super-2 number, since 2×1055344084372 (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 (105534408487) 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, 52767204218 + 52767204219.

It is an arithmetic number, because the mean of its divisors is an integer number (52767204219).

Almost surely, 2105534408437 is an apocalyptic number.

It is an amenable number.

105534408437 is a deficient number, since it is larger than the sum of its proper divisors (1).

105534408437 is an equidigital number, since it uses as much as digits as its factorization.

105534408437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 105534408437 in words is "one hundred five billion, five hundred thirty-four million, four hundred eight thousand, four hundred thirty-seven".