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105134043818577 = 3299716277657109
BaseRepresentation
bin10111111001111001101101…
…010101011110101001010001
3111210020201100021112011120010
4113321321231111132221101
5102240004010204143302
61011333525111305133
731100453420436324
oct2771715525365121
9453221307464503
10105134043818577
1130554108995594
12b95b82267b1a9
134688136b06097
141bd672cb427bb
15c24b9ed8316c
hex5f9e6d55ea51

105134043818577 has 32 divisors (see below), whose sum is σ = 146597514940800. Its totient is φ = 66933660100608.

The previous prime is 105134043818537. The next prime is 105134043818611. The reversal of 105134043818577 is 775818340431501.

It is a happy number.

It is not a de Polignac number, because 105134043818577 - 230 = 105132970076753 is a prime.

It is a super-2 number, since 2×1051340438185772 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105134043818537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9901699 + ... + 17558807.

It is an arithmetic number, because the mean of its divisors is an integer number (4581172341900).

Almost surely, 2105134043818577 is an apocalyptic number.

It is an amenable number.

105134043818577 is a deficient number, since it is larger than the sum of its proper divisors (41463471122223).

105134043818577 is a wasteful number, since it uses less digits than its factorization.

105134043818577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7658865.

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 105134043818577 in words is "one hundred five trillion, one hundred thirty-four billion, forty-three million, eight hundred eighteen thousand, five hundred seventy-seven".

Divisors: 1 3 29 87 97 291 1627 2813 4881 8439 47183 141549 157819 473457 4576751 7657109 13730253 22971327 222056161 666168483 742739573 2228218719 12458116343 21539447617 37374349029 64618342851 361285373947 1083856121841 1208437285271 3625311855813 35044681272859 105134043818577