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106141005 = 3254157529
BaseRepresentation
bin1100101001110…
…01010101001101
321101201112002100
412110321111031
5204133003010
614310545313
72426116665
oct624712515
9241645070
10106141005
1154a06343
122b668239
1318cb3a39
141014d1a5
1594b92c0
hex653954d

106141005 has 24 divisors (see below), whose sum is σ = 188468280. Its totient is φ = 55226880.

The previous prime is 106140977. The next prime is 106141019. The reversal of 106141005 is 500141601.

It can be written as a sum of positive squares in 4 ways, for example, as 5560164 + 100580841 = 2358^2 + 10029^2 .

It is not a de Polignac number, because 106141005 - 210 = 106139981 is a prime.

It is a super-2 number, since 2×1061410052 = 22531825884820050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26920 + ... + 30609.

It is an arithmetic number, because the mean of its divisors is an integer number (7852845).

Almost surely, 2106141005 is an apocalyptic number.

106141005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106141005 is a deficient number, since it is larger than the sum of its proper divisors (82327275).

106141005 is a wasteful number, since it uses less digits than its factorization.

106141005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57581 (or 57578 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106141005 is about 10302.4756733515. The cubic root of 106141005 is about 473.4721063159.

Adding to 106141005 its reverse (500141601), we get a palindrome (606282606).

The spelling of 106141005 in words is "one hundred six million, one hundred forty-one thousand, five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 57529 172587 287645 517761 862935 2358689 2588805 7076067 11793445 21228201 35380335 106141005