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132105623 = 13172112833
BaseRepresentation
bin1111101111111…
…00010110010111
3100012120122211212
413313330112113
5232304334443
621035252035
73162610406
oct767742627
9305518755
10132105623
116862aa01
12382aa01b
13214a5010
141378b63d
15b8e7618
hex7dfc597

132105623 has 16 divisors (see below), whose sum is σ = 151403616. Its totient is φ = 114186240.

The previous prime is 132105619. The next prime is 132105679. The reversal of 132105623 is 326501231.

It is a cyclic number.

It is not a de Polignac number, because 132105623 - 22 = 132105619 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132105683) 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 15 ways as a sum of consecutive naturals, for example, 45215 + ... + 48047.

It is an arithmetic number, because the mean of its divisors is an integer number (9462726).

Almost surely, 2132105623 is an apocalyptic number.

132105623 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132105623 is a deficient number, since it is larger than the sum of its proper divisors (19297993).

132105623 is a wasteful number, since it uses less digits than its factorization.

132105623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 132105623 is about 11493.7210249771. The cubic root of 132105623 is about 509.3001074882.

Adding to 132105623 its reverse (326501231), we get a palindrome (458606854).

The spelling of 132105623 in words is "one hundred thirty-two million, one hundred five thousand, six hundred twenty-three".

Divisors: 1 13 17 211 221 2743 2833 3587 36829 46631 48161 597763 626093 7770919 10161971 132105623