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106536981 = 3293473529
BaseRepresentation
bin1100101100110…
…10000000010101
321102110122021010
412112122000111
5204233140411
614323242433
72432356305
oct626320025
9242418233
10106536981
11551568a1
122b819419
13190c2045
1410213605
1595467a6
hex659a015

106536981 has 16 divisors (see below), whose sum is σ = 147412800. Its totient is φ = 68358528.

The previous prime is 106536973. The next prime is 106537007. The reversal of 106536981 is 189635601.

It is not a de Polignac number, because 106536981 - 23 = 106536973 is a prime.

It is a super-2 number, since 2×1065369812 = 22700256641188722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106536931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28425 + ... + 31953.

It is an arithmetic number, because the mean of its divisors is an integer number (9213300).

Almost surely, 2106536981 is an apocalyptic number.

It is an amenable number.

106536981 is a deficient number, since it is larger than the sum of its proper divisors (40875819).

106536981 is a wasteful number, since it uses less digits than its factorization.

106536981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 106536981 is about 10321.6753000664. The cubic root of 106536981 is about 474.0601634541.

The spelling of 106536981 in words is "one hundred six million, five hundred thirty-six thousand, nine hundred eighty-one".

Divisors: 1 3 29 87 347 1041 3529 10063 10587 30189 102341 307023 1224563 3673689 35512327 106536981