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106727157 = 3211858573
BaseRepresentation
bin1100101110010…
…00011011110101
321102211022010200
412113020123311
5204310232112
614331311113
72434110615
oct627103365
9242738120
10106727157
1155276769
122b8ab499
131915a784
1410262a45
159582cdc
hex65c86f5

106727157 has 6 divisors (see below), whose sum is σ = 154161462. Its totient is φ = 71151432.

The previous prime is 106727149. The next prime is 106727189. The reversal of 106727157 is 751727601.

It can be written as a sum of positive squares in only one way, i.e., 105698961 + 1028196 = 10281^2 + 1014^2 .

It is not a de Polignac number, because 106727157 - 23 = 106727149 is a prime.

It is a super-2 number, since 2×1067271572 = 22781372082605298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106727147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5929278 + ... + 5929295.

It is an arithmetic number, because the mean of its divisors is an integer number (25693577).

Almost surely, 2106727157 is an apocalyptic number.

It is an amenable number.

106727157 is a deficient number, since it is larger than the sum of its proper divisors (47434305).

106727157 is a wasteful number, since it uses less digits than its factorization.

106727157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11858579 (or 11858576 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 106727157 is about 10330.8836504919. The cubic root of 106727157 is about 474.3420726831.

It can be divided in two parts, 1067 and 27157, that added together give a square (28224 = 1682).

The spelling of 106727157 in words is "one hundred six million, seven hundred twenty-seven thousand, one hundred fifty-seven".

Divisors: 1 3 9 11858573 35575719 106727157