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106237 = 2331149
BaseRepresentation
bin11001111011111101
312101201201
4121323331
511344422
62135501
7621505
oct317375
9171651
10106237
11728aa
1251591
1339481
142aa05
1521727
hex19efd

106237 has 8 divisors (see below), whose sum is σ = 115200. Its totient is φ = 97680.

The previous prime is 106219. The next prime is 106243. The reversal of 106237 is 732601.

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 106237 - 27 = 106109 is a prime.

It is a super-2 number, since 2×1062372 = 22572600338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106207) 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, 639 + ... + 787.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2106237 is an apocalyptic number.

It is an amenable number.

106237 is a deficient number, since it is larger than the sum of its proper divisors (8963).

106237 is a wasteful number, since it uses less digits than its factorization.

106237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 106237 is about 325.9401785604. The cubic root of 106237 is about 47.3614800963.

Adding to 106237 its reverse (732601), we get a palindrome (838838).

It can be divided in two parts, 106 and 237, that added together give a palindrome (343).

The spelling of 106237 in words is "one hundred six thousand, two hundred thirty-seven".

Divisors: 1 23 31 149 713 3427 4619 106237