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106493681 = 74727197
BaseRepresentation
bin1100101100011…
…11011011110001
321102101102212102
412112033123301
5204230244211
614322310145
72432116130
oct626173361
9242342772
10106493681
1155127308
122b7b8355
13190a8418
1410201917
159538a3b
hex658f6f1

106493681 has 24 divisors (see below), whose sum is σ = 127403136. Its totient is φ = 87171840.

The previous prime is 106493677. The next prime is 106493683. The reversal of 106493681 is 186394601.

It is not a de Polignac number, because 106493681 - 22 = 106493677 is a prime.

It is a super-2 number, since 2×1064936812 = 22681808185859522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106493683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1097825 + ... + 1097921.

It is an arithmetic number, because the mean of its divisors is an integer number (5308464).

Almost surely, 2106493681 is an apocalyptic number.

It is an amenable number.

106493681 is a deficient number, since it is larger than the sum of its proper divisors (20909455).

106493681 is an frugal number, since it uses more digits than its factorization.

106493681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 106493681 is about 10319.5775591833. The cubic root of 106493681 is about 473.9959304012.

The spelling of 106493681 in words is "one hundred six million, four hundred ninety-three thousand, six hundred eighty-one".

Divisors: 1 7 47 71 97 329 497 679 2209 3337 4559 6887 15463 23359 31913 48209 156839 214273 323689 1097873 1499911 2265823 15213383 106493681