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105734103 = 31392271117
BaseRepresentation
bin1100100110101…
…01111111010111
321100221211220220
412103111333113
5204031442403
614254125423
72422503456
oct623257727
9240854826
10105734103
1154758662
122b4b0873
1318ba0777
1410084b9d
159438953
hex64d5fd7

105734103 has 16 divisors (see below), whose sum is σ = 142746240. Its totient is φ = 69611616.

The previous prime is 105734093. The next prime is 105734113. The reversal of 105734103 is 301437501.

It is an interprime number because it is at equal distance from previous prime (105734093) and next prime (105734113).

It is not a de Polignac number, because 105734103 - 25 = 105734071 is a prime.

It is a super-3 number, since 3×1057341033 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105734113) 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, 94101 + ... + 95217.

It is an arithmetic number, because the mean of its divisors is an integer number (8921640).

Almost surely, 2105734103 is an apocalyptic number.

105734103 is a deficient number, since it is larger than the sum of its proper divisors (37012137).

105734103 is a wasteful number, since it uses less digits than its factorization.

105734103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 105734103 is about 10282.7089329612. The cubic root of 105734103 is about 472.8662975234.

The spelling of 105734103 in words is "one hundred five million, seven hundred thirty-four thousand, one hundred three".

Divisors: 1 3 139 227 417 681 1117 3351 31553 94659 155263 253559 465789 760677 35244701 105734103