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105418454431 is a prime number
BaseRepresentation
bin110001000101101101…
…1011111010110011111
3101002002210102100101011
41202023123133112133
53211344111020211
6120232323200051
710421240035513
oct1421333372637
9332083370334
10105418454431
1140786a73114
1218520516027
139c302716b4
14516092c143
152b1ec9c921
hex188b6df59f

105418454431 has 2 divisors, whose sum is σ = 105418454432. Its totient is φ = 105418454430.

The previous prime is 105418454419. The next prime is 105418454437. The reversal of 105418454431 is 134454814501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105418454431 - 219 = 105417930143 is a prime.

It is a super-2 number, since 2×1054184544312 (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 (105418454437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52709227215 + 52709227216.

It is an arithmetic number, because the mean of its divisors is an integer number (52709227216).

Almost surely, 2105418454431 is an apocalyptic number.

105418454431 is a deficient number, since it is larger than the sum of its proper divisors (1).

105418454431 is an equidigital number, since it uses as much as digits as its factorization.

105418454431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 105418454431 in words is "one hundred five billion, four hundred eighteen million, four hundred fifty-four thousand, four hundred thirty-one".