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106561053 = 3250323539
BaseRepresentation
bin1100101100111…
…11111000011101
321102111212021200
412112133320131
5204234423203
614323550113
72432516424
oct626377035
9242455250
10106561053
1155172995
122b82b339
13190ccca1
141021c2bb
15954d9a3
hex659fe1d

106561053 has 12 divisors (see below), whose sum is σ = 154234080. Its totient is φ = 70896456.

The previous prime is 106561031. The next prime is 106561061. The reversal of 106561053 is 350165601.

It is a happy number.

106561053 is a `hidden beast` number, since 1 + 0 + 656 + 1 + 0 + 5 + 3 = 666.

It is not a de Polignac number, because 106561053 - 213 = 106552861 is a prime.

It is a super-2 number, since 2×1065610532 = 22710516032937618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106561003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7243 + ... + 16296.

It is an arithmetic number, because the mean of its divisors is an integer number (12852840).

Almost surely, 2106561053 is an apocalyptic number.

It is an amenable number.

106561053 is a deficient number, since it is larger than the sum of its proper divisors (47673027).

106561053 is a wasteful number, since it uses less digits than its factorization.

106561053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24048 (or 24045 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 106561053 is about 10322.8413239767. The cubic root of 106561053 is about 474.0958653509.

The spelling of 106561053 in words is "one hundred six million, five hundred sixty-one thousand, fifty-three".

Divisors: 1 3 9 503 1509 4527 23539 70617 211851 11840117 35520351 106561053