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105419050489 = 1727122692
BaseRepresentation
bin110001000101101110…
…1110000110111111001
3101002002211112122000101
41202023131300313321
53211344234103424
6120232344035401
710421245100344
oct1421335606771
9332084478011
10105419050489
114078733aa25
1218520762b61
139c3041caac
145160a4545b
152b1ed69344
hex188b770df9

105419050489 has 27 divisors (see below), whose sum is σ = 114008227021. Its totient is φ = 97456849280.

The previous prime is 105419050469. The next prime is 105419050493. The reversal of 105419050489 is 984050914501.

It is a happy number.

The square root of 105419050489 is 324683.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5504898025 + 99914152464 = 74195^2 + 316092^2 .

It is not a de Polignac number, because 105419050489 - 225 = 105385496057 is a prime.

It is a super-2 number, since 2×1054190504892 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105419050439) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 391892247 + ... + 391892515.

Almost surely, 2105419050489 is an apocalyptic number.

105419050489 is the 324683-rd square number.

105419050489 is the 162342-nd centered octagonal number.

It is an amenable number.

105419050489 is a deficient number, since it is larger than the sum of its proper divisors (8589176532).

105419050489 is an frugal number, since it uses more digits than its factorization.

105419050489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 105419050489 in words is "one hundred five billion, four hundred nineteen million, fifty thousand, four hundred eighty-nine".

Divisors: 1 17 71 269 289 1207 4573 5041 19099 20519 72361 77741 85697 324683 1230137 1356029 1456849 5137631 5519611 20912329 23052493 87339727 364771801 391892381 1484775359 6201120617 105419050489