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106037 = 107991
BaseRepresentation
bin11001111000110101
312101110022
4121320311
511343122
62134525
7621101
oct317065
9171408
10106037
1172738
1251445
1339359
142a901
1521642
hex19e35

106037 has 4 divisors (see below), whose sum is σ = 107136. Its totient is φ = 104940.

The previous prime is 106033. The next prime is 106087. The reversal of 106037 is 730601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 730601 = 898209.

It is a cyclic number.

It is not a de Polignac number, because 106037 - 22 = 106033 is a prime.

It is a super-2 number, since 2×1060372 = 22487690738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106037.

It is not an unprimeable number, because it can be changed into a prime (106031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 389 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2106037 is an apocalyptic number.

It is an amenable number.

106037 is a deficient number, since it is larger than the sum of its proper divisors (1099).

106037 is an equidigital number, since it uses as much as digits as its factorization.

106037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 106037 is about 325.6332292626. The cubic root of 106037 is about 47.3317407827.

Adding to 106037 its reverse (730601), we get a palindrome (836638).

The spelling of 106037 in words is "one hundred six thousand, thirty-seven".

Divisors: 1 107 991 106037