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106281637 = 7311171657
BaseRepresentation
bin1100101010110…
…11101010100101
321101222122222221
412111123222211
5204202003022
614313552341
72430244000
oct625335245
9241878887
10106281637
1154aa1a70
122b7156b1
1319032a57
1410188537
1594e5cc7
hex655baa5

106281637 has 32 divisors (see below), whose sum is σ = 143251200. Its totient is φ = 77898240.

The previous prime is 106281619. The next prime is 106281641. The reversal of 106281637 is 736182601.

It is not a de Polignac number, because 106281637 - 219 = 105757349 is a prime.

It is a super-2 number, since 2×1062816372 = 22591572726799538, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106281647) 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, 63313 + ... + 64969.

It is an arithmetic number, because the mean of its divisors is an integer number (4476600).

Almost surely, 2106281637 is an apocalyptic number.

106281637 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106281637 is a deficient number, since it is larger than the sum of its proper divisors (36969563).

106281637 is a wasteful number, since it uses less digits than its factorization.

106281637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 106281637 is about 10309.2985697379. The cubic root of 106281637 is about 473.6811236929.

The spelling of 106281637 in words is "one hundred six million, two hundred eighty-one thousand, six hundred thirty-seven".

Divisors: 1 7 11 17 49 77 119 187 343 539 833 1309 1657 3773 5831 9163 11599 18227 28169 64141 81193 127589 197183 309859 568351 893123 1380281 2169013 6251861 9661967 15183091 106281637