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105141 = 3101347
BaseRepresentation
bin11001101010110101
312100020010
4121222311
511331031
62130433
7615351
oct315265
9170203
10105141
1171aa3
1250a19
1338b1a
142a461
1521246
hex19ab5

105141 has 8 divisors (see below), whose sum is σ = 141984. Its totient is φ = 69200.

The previous prime is 105137. The next prime is 105143. The reversal of 105141 is 141501.

It is a happy number.

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 105141 - 22 = 105137 is a prime.

It is a super-2 number, since 2×1051412 = 22109259762, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105143) 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, 130 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (17748).

2105141 is an apocalyptic number.

It is an amenable number.

105141 is a deficient number, since it is larger than the sum of its proper divisors (36843).

105141 is a wasteful number, since it uses less digits than its factorization.

105141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451.

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 105141 is about 324.2545296522. The cubic root of 105141 is about 47.1980476546.

Adding to 105141 its reverse (141501), we get a palindrome (246642).

It can be divided in two parts, 10 and 5141, that added together give a triangular number (5151 = T101).

The spelling of 105141 in words is "one hundred five thousand, one hundred forty-one".

Divisors: 1 3 101 303 347 1041 35047 105141