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105891331 = 7131163641
BaseRepresentation
bin1100100111111…
…00011000000011
321101020211121011
412103330120003
5204102010311
614301341351
72424030040
oct623743003
9241224534
10105891331
11548557a7
122b567857
1318c271c0
14100c61c7
15946a321
hex64fc603

105891331 has 8 divisors (see below), whose sum is σ = 130327904. Its totient is φ = 83782080.

The previous prime is 105891301. The next prime is 105891337. The reversal of 105891331 is 133198501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105891331 - 223 = 97502723 is a prime.

It is a super-2 number, since 2×1058913312 = 22425947961903122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105891293 and 105891302.

It is not an unprimeable number, because it can be changed into a prime (105891337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581730 + ... + 581911.

It is an arithmetic number, because the mean of its divisors is an integer number (16290988).

Almost surely, 2105891331 is an apocalyptic number.

105891331 is a deficient number, since it is larger than the sum of its proper divisors (24436573).

105891331 is a wasteful number, since it uses less digits than its factorization.

105891331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163661.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 105891331 is about 10290.3513545457. The cubic root of 105891331 is about 473.1005675727.

The spelling of 105891331 in words is "one hundred five million, eight hundred ninety-one thousand, three hundred thirty-one".

Divisors: 1 7 13 91 1163641 8145487 15127333 105891331