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106134717 = 31310924967
BaseRepresentation
bin1100101001101…
…11110010111101
321101201012110110
412110313302331
5204132302332
614310500233
72426062443
oct624676275
9241635413
10106134717
1154a01647
122b664679
1318cb0c10
141014ab93
1594b74cc
hex6537cbd

106134717 has 16 divisors (see below), whose sum is σ = 153802880. Its totient is φ = 64711872.

The previous prime is 106134671. The next prime is 106134727. The reversal of 106134717 is 717431601.

It is not a de Polignac number, because 106134717 - 26 = 106134653 is a prime.

It is a super-2 number, since 2×1061347172 = 22529156305340178, 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 (106134727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8233 + ... + 16734.

It is an arithmetic number, because the mean of its divisors is an integer number (9612680).

Almost surely, 2106134717 is an apocalyptic number.

It is an amenable number.

106134717 is a deficient number, since it is larger than the sum of its proper divisors (47668163).

106134717 is a wasteful number, since it uses less digits than its factorization.

106134717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25092.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 106134717 is about 10302.1704994627. The cubic root of 106134717 is about 473.4627563278.

It can be divided in two parts, 1061 and 34717, that added together give a triangular number (35778 = T267).

The spelling of 106134717 in words is "one hundred six million, one hundred thirty-four thousand, seven hundred seventeen".

Divisors: 1 3 13 39 109 327 1417 4251 24967 74901 324571 973713 2721403 8164209 35378239 106134717