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105317135 = 5711273551
BaseRepresentation
bin1100100011100…
…00001100001111
321100011122221122
412101300030033
5203430122020
614241151155
72416116020
oct621601417
9240148848
10105317135
11544a3360
122b32b4bb
1318a85a41
14ddb6c47
1593a5125
hex647030f

105317135 has 16 divisors (see below), whose sum is σ = 157565952. Its totient is φ = 65652000.

The previous prime is 105317131. The next prime is 105317141. The reversal of 105317135 is 531713501.

It is not a de Polignac number, because 105317135 - 22 = 105317131 is a prime.

It is a super-2 number, since 2×1053171352 = 22183397849216450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105317131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136391 + ... + 137160.

It is an arithmetic number, because the mean of its divisors is an integer number (9847872).

Almost surely, 2105317135 is an apocalyptic number.

105317135 is a deficient number, since it is larger than the sum of its proper divisors (52248817).

105317135 is a wasteful number, since it uses less digits than its factorization.

105317135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273574.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 105317135 is about 10262.4137024386. The cubic root of 105317135 is about 472.2438875924.

The spelling of 105317135 in words is "one hundred five million, three hundred seventeen thousand, one hundred thirty-five".

Divisors: 1 5 7 11 35 55 77 385 273551 1367755 1914857 3009061 9574285 15045305 21063427 105317135