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106586701 = 1352115737
BaseRepresentation
bin1100101101001…
…10001001001101
321102120011110121
412112212021031
5204241233301
614324304541
72432654254
oct626461115
9242504417
10106586701
1155190191
122b842151
131910b870
141022779b
1595563a1
hex65a624d

106586701 has 8 divisors (see below), whose sum is σ = 115013304. Its totient is φ = 98192640.

The previous prime is 106586699. The next prime is 106586743. The reversal of 106586701 is 107685601.

It can be written as a sum of positive squares in 4 ways, for example, as 11055625 + 95531076 = 3325^2 + 9774^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106586701 - 21 = 106586699 is a prime.

It is a super-2 number, since 2×1065867012 = 22721449660126802, 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 (106586791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1096 + ... + 14641.

It is an arithmetic number, because the mean of its divisors is an integer number (14376663).

Almost surely, 2106586701 is an apocalyptic number.

It is an amenable number.

106586701 is a deficient number, since it is larger than the sum of its proper divisors (8426603).

106586701 is a wasteful number, since it uses less digits than its factorization.

106586701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16271.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 106586701 is about 10324.0835428623. The cubic root of 106586701 is about 474.1338987442.

The spelling of 106586701 in words is "one hundred six million, five hundred eighty-six thousand, seven hundred one".

Divisors: 1 13 521 6773 15737 204581 8198977 106586701