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105346134 = 23210356821
BaseRepresentation
bin1100100011101…
…11010001010110
321100020010201200
412101313101112
5203432034014
614241533330
72416266405
oct621672126
9240203650
10105346134
1154513123
122b344246
1318a95cba
14ddc363c
1593ada09
hex6477456

105346134 has 24 divisors (see below), whose sum is σ = 230470032. Its totient is φ = 34773840.

The previous prime is 105346123. The next prime is 105346159. The reversal of 105346134 is 431643501.

105346134 is a `hidden beast` number, since 10 + 5 + 34 + 613 + 4 = 666.

It is a super-3 number, since 3×1053461343 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105346098 and 105346107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26557 + ... + 30264.

It is an arithmetic number, because the mean of its divisors is an integer number (9602918).

Almost surely, 2105346134 is an apocalyptic number.

105346134 is an abundant number, since it is smaller than the sum of its proper divisors (125123898).

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

105346134 is a wasteful number, since it uses less digits than its factorization.

105346134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56932 (or 56929 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105346134 is about 10263.8264794374. The cubic root of 105346134 is about 472.2872276236.

Adding to 105346134 its reverse (431643501), we get a palindrome (536989635).

The spelling of 105346134 in words is "one hundred five million, three hundred forty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 103 206 309 618 927 1854 56821 113642 170463 340926 511389 1022778 5852563 11705126 17557689 35115378 52673067 105346134