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106727031 = 3311334981
BaseRepresentation
bin1100101110010…
…00011001110111
321102211021222000
412113020121313
5204310231111
614331310343
72434110345
oct627103167
9242737860
10106727031
1155276664
122b8ab3b3
131915a6b8
1410262995
159582c56
hex65c8677

106727031 has 16 divisors (see below), whose sum is σ = 159517920. Its totient is φ = 70519680.

The previous prime is 106727029. The next prime is 106727039. The reversal of 106727031 is 130727601.

It is not a de Polignac number, because 106727031 - 21 = 106727029 is a prime.

It is a super-2 number, since 2×1067270312 = 22781318292149922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106726986 and 106727004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106727039) 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, 14440 + ... + 20541.

It is an arithmetic number, because the mean of its divisors is an integer number (9969870).

Almost surely, 2106727031 is an apocalyptic number.

106727031 is a deficient number, since it is larger than the sum of its proper divisors (52790889).

106727031 is a wasteful number, since it uses less digits than its factorization.

106727031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35103 (or 35097 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 106727031 is about 10330.8775522702. The cubic root of 106727031 is about 474.3418860167.

The spelling of 106727031 in words is "one hundred six million, seven hundred twenty-seven thousand, thirty-one".

Divisors: 1 3 9 27 113 339 1017 3051 34981 104943 314829 944487 3952853 11858559 35575677 106727031