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106142679 = 3217693743
BaseRepresentation
bin1100101001110…
…01101111010111
321101201121101100
412110321233113
5204133031204
614311001143
72426124606
oct624715727
9241647340
10106142679
1154a07625
122b6691b3
1318cb4726
141014da3d
1594b9a39
hex6539bd7

106142679 has 12 divisors (see below), whose sum is σ = 162336096. Its totient is φ = 66599232.

The previous prime is 106142671. The next prime is 106142681. The reversal of 106142679 is 976241601.

106142679 is a `hidden beast` number, since 10 + 614 + 26 + 7 + 9 = 666.

It is not a de Polignac number, because 106142679 - 23 = 106142671 is a prime.

It is a super-2 number, since 2×1061426792 = 22532536610594082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106142671) 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 11 ways as a sum of consecutive naturals, for example, 346719 + ... + 347024.

It is an arithmetic number, because the mean of its divisors is an integer number (13528008).

Almost surely, 2106142679 is an apocalyptic number.

106142679 is a deficient number, since it is larger than the sum of its proper divisors (56193417).

106142679 is a wasteful number, since it uses less digits than its factorization.

106142679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693766 (or 693763 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 106142679 is about 10302.5569156399. The cubic root of 106142679 is about 473.4745954203.

The spelling of 106142679 in words is "one hundred six million, one hundred forty-two thousand, six hundred seventy-nine".

Divisors: 1 3 9 17 51 153 693743 2081229 6243687 11793631 35380893 106142679