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132105069 = 3288116661
BaseRepresentation
bin1111101111111…
…00001101101101
3100012120122002100
413313330031231
5232304330234
621035245313
73162605655
oct767741555
9305518070
10132105069
116862a548
12382a9839
13214a49a5
141378b365
15b8e7399
hex7dfc36d

132105069 has 12 divisors (see below), whose sum is σ = 191046492. Its totient is φ = 87964800.

The previous prime is 132105053. The next prime is 132105091. The reversal of 132105069 is 960501231.

It can be written as a sum of positive squares in 2 ways, for example, as 42575625 + 89529444 = 6525^2 + 9462^2 .

It is not a de Polignac number, because 132105069 - 24 = 132105053 is a prime.

It is a super-2 number, since 2×1321050692 = 34903498510989522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132105769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402 + ... + 16259.

It is an arithmetic number, because the mean of its divisors is an integer number (15920541).

Almost surely, 2132105069 is an apocalyptic number.

It is an amenable number.

132105069 is a deficient number, since it is larger than the sum of its proper divisors (58941423).

132105069 is a wasteful number, since it uses less digits than its factorization.

132105069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17548 (or 17545 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 132105069 is about 11493.6969248367. The cubic root of 132105069 is about 509.2993955512.

The spelling of 132105069 in words is "one hundred thirty-two million, one hundred five thousand, sixty-nine".

Divisors: 1 3 9 881 2643 7929 16661 49983 149949 14678341 44035023 132105069