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105317334 = 234650107
BaseRepresentation
bin1100100011100…
…00001111010110
321100011200020000
412101300033112
5203430123314
614241152130
72416116423
oct621601726
9240150200
10105317334
11544a3521
122b32b646
1318a85b65
14ddb6d4a
1593a5209
hex64703d6

105317334 has 20 divisors (see below), whose sum is σ = 235989204. Its totient is φ = 35105724.

The previous prime is 105317321. The next prime is 105317347. The reversal of 105317334 is 433713501.

105317334 is a `hidden beast` number, since 10 + 5 + 317 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (105317321) and next prime (105317347).

It is a super-2 number, since 2×1053173342 = 22183481681735112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105317298 and 105317307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 324892 + ... + 325215.

Almost surely, 2105317334 is an apocalyptic number.

105317334 is an abundant number, since it is smaller than the sum of its proper divisors (130671870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105317334 is an equidigital number, since it uses as much as digits as its factorization.

105317334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650121 (or 650112 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 105317334 is about 10262.4233980089. The cubic root of 105317334 is about 472.2441850321.

The spelling of 105317334 in words is "one hundred five million, three hundred seventeen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 650107 1300214 1950321 3900642 5850963 11701926 17552889 35105778 52658667 105317334