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106726563 = 3213985313
BaseRepresentation
bin1100101110010…
…00010010100011
321102211021022200
412113020102203
5204310222223
614331304243
72434106106
oct627102243
9242737280
10106726563
1155276279
122b8ab083
131915a418
141026273d
159582a43
hex65c84a3

106726563 has 12 divisors (see below), whose sum is σ = 155271480. Its totient is φ = 70638336.

The previous prime is 106726541. The next prime is 106726589. The reversal of 106726563 is 365627601.

106726563 is a `hidden beast` number, since 10 + 67 + 26 + 563 = 666.

It is a de Polignac number, because none of the positive numbers 2k-106726563 is a prime.

It is a super-2 number, since 2×1067265632 = 22781118499585938, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106726063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41406 + ... + 43907.

It is an arithmetic number, because the mean of its divisors is an integer number (12939290).

Almost surely, 2106726563 is an apocalyptic number.

106726563 is a deficient number, since it is larger than the sum of its proper divisors (48544917).

106726563 is a wasteful number, since it uses less digits than its factorization.

106726563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85458 (or 85455 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 106726563 is about 10330.8549017010. The cubic root of 106726563 is about 474.3411926831.

The spelling of 106726563 in words is "one hundred six million, seven hundred twenty-six thousand, five hundred sixty-three".

Divisors: 1 3 9 139 417 1251 85313 255939 767817 11858507 35575521 106726563