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106559541 = 32111076359
BaseRepresentation
bin1100101100111…
…11100000110101
321102111210012200
412112133200311
5204234401131
614323535113
72432512134
oct626374065
9242453180
10106559541
1155171840
122b82a499
13190cc3aa
141021b91b
15954d2e6
hex659f835

106559541 has 12 divisors (see below), whose sum is σ = 167912160. Its totient is φ = 64581480.

The previous prime is 106559539. The next prime is 106559549. The reversal of 106559541 is 145955601.

106559541 is a `hidden beast` number, since 1 + 0 + 65 + 59 + 541 = 666.

It is not a de Polignac number, because 106559541 - 21 = 106559539 is a prime.

It is a super-2 number, since 2×1065595412 = 22709871556261362, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106559496 and 106559505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106559549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538081 + ... + 538278.

It is an arithmetic number, because the mean of its divisors is an integer number (13992680).

Almost surely, 2106559541 is an apocalyptic number.

106559541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106559541 is a deficient number, since it is larger than the sum of its proper divisors (61352619).

106559541 is a wasteful number, since it uses less digits than its factorization.

106559541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076376 (or 1076373 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 106559541 is about 10322.7680880663. The cubic root of 106559541 is about 474.0936230171.

It can be divided in two parts, 1065 and 59541, that added together give a palindrome (60606).

The spelling of 106559541 in words is "one hundred six million, five hundred fifty-nine thousand, five hundred forty-one".

Divisors: 1 3 9 11 33 99 1076359 3229077 9687231 11839949 35519847 106559541