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106326993 = 31731109617
BaseRepresentation
bin1100101011001…
…10101111010001
321102001222012210
412111212233101
5204204430433
614314542333
72430523143
oct625465721
9242058183
10106326993
1155023053
122b7379a9
131904a5a6
141019ac93
159504463
hex6566bd1

106326993 has 32 divisors (see below), whose sum is σ = 156625920. Its totient is φ = 63866880.

The previous prime is 106326989. The next prime is 106327033. The reversal of 106326993 is 399623601.

It is not a de Polignac number, because 106326993 - 22 = 106326989 is a prime.

It is a super-2 number, since 2×1063269932 = 22610858880844098, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (106326193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172021 + ... + 172637.

It is an arithmetic number, because the mean of its divisors is an integer number (4894560).

Almost surely, 2106326993 is an apocalyptic number.

It is an amenable number.

106326993 is a deficient number, since it is larger than the sum of its proper divisors (50298927).

106326993 is a wasteful number, since it uses less digits than its factorization.

106326993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777.

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 106326993 is about 10311.4980967850. The cubic root of 106326993 is about 473.7484957126.

The spelling of 106326993 in words is "one hundred six million, three hundred twenty-six thousand, nine hundred ninety-three".

Divisors: 1 3 17 31 51 93 109 327 527 617 1581 1851 1853 3379 5559 10137 10489 19127 31467 57381 57443 67253 172329 201759 325159 975477 1143301 2084843 3429903 6254529 35442331 106326993