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106015126 = 27329732
BaseRepresentation
bin1100101000110…
…10100110010110
321101111010102011
412110122212112
5204114441001
614304134434
72425054000
oct624324626
9241433364
10106015126
115492a808
122b60741a
1318c6b659
1410119370
159491d51
hex651a996

106015126 has 48 divisors (see below), whose sum is σ = 194508000. Its totient is φ = 43267392.

The previous prime is 106015099. The next prime is 106015159. The reversal of 106015126 is 621510601.

It is a super-2 number, since 2×1060151262 = 22478413881591752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106015097 and 106015106.

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 23 ways as a sum of consecutive naturals, for example, 1452226 + ... + 1452298.

It is an arithmetic number, because the mean of its divisors is an integer number (4052250).

Almost surely, 2106015126 is an apocalyptic number.

106015126 is a deficient number, since it is larger than the sum of its proper divisors (88492874).

106015126 is an frugal number, since it uses more digits than its factorization.

106015126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 106015126 is about 10296.3646982807. The cubic root of 106015126 is about 473.2848592604.

Adding to 106015126 its reverse (621510601), we get a palindrome (727525727).

The spelling of 106015126 in words is "one hundred six million, fifteen thousand, one hundred twenty-six".

Divisors: 1 2 7 14 29 49 58 73 98 146 203 343 406 511 686 1022 1421 2117 2842 3577 4234 5329 7154 9947 10658 14819 19894 25039 29638 37303 50078 74606 103733 154541 207466 261121 309082 522242 726131 1081787 1452262 1827847 2163574 3655694 7572509 15145018 53007563 106015126