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106131 = 3172081
BaseRepresentation
bin11001111010010011
312101120210
4121322103
511344011
62135203
7621264
oct317223
9171523
10106131
1172813
1251503
13393cc
142a96b
15216a6
hex19e93

106131 has 8 divisors (see below), whose sum is σ = 149904. Its totient is φ = 66560.

The previous prime is 106129. The next prime is 106163. The reversal of 106131 is 131601.

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 106131 - 21 = 106129 is a prime.

It is a super-2 number, since 2×1061312 = 22527578322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 990 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (18738).

2106131 is an apocalyptic number.

106131 is a deficient number, since it is larger than the sum of its proper divisors (43773).

106131 is a wasteful number, since it uses less digits than its factorization.

106131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 106131 is about 325.7775314536. Note that the first 3 decimals coincide. The cubic root of 106131 is about 47.3457229134.

Adding to 106131 its reverse (131601), we get a palindrome (237732).

The spelling of 106131 in words is "one hundred six thousand, one hundred thirty-one".

Divisors: 1 3 17 51 2081 6243 35377 106131