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106510545 = 36529221
BaseRepresentation
bin1100101100100…
…11100011010001
321102102022000000
412112103203101
5204231314140
614322520213
72432216241
oct626234321
9242368000
10106510545
1155138a49
122b806069
13190b2cbb
1410207b21
15953da30
hex65938d1

106510545 has 28 divisors (see below), whose sum is σ = 191637876. Its totient is φ = 56803680.

The previous prime is 106510511. The next prime is 106510583. The reversal of 106510545 is 545015601.

It is a happy number.

106510545 is a `hidden beast` number, since 1 + 0 + 651 + 0 + 5 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16184529 + 90326016 = 4023^2 + 9504^2 .

It is not a de Polignac number, because 106510545 - 211 = 106508497 is a prime.

It is a super-2 number, since 2×1065105452 = 22688992392394050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 10966 + ... + 18255.

Almost surely, 2106510545 is an apocalyptic number.

106510545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106510545 is a deficient number, since it is larger than the sum of its proper divisors (85127331).

106510545 is an frugal number, since it uses more digits than its factorization.

106510545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29244 (or 29229 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 106510545 is about 10320.3946145484. The cubic root of 106510545 is about 474.0209492423.

The spelling of 106510545 in words is "one hundred six million, five hundred ten thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 29221 87663 146105 262989 438315 788967 1314945 2366901 3944835 7100703 11834505 21302109 35503515 106510545