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105213 = 3172063
BaseRepresentation
bin11001101011111101
312100022210
4121223331
511331323
62131033
7615513
oct315375
9170283
10105213
1172059
1250a79
1338b74
142a4b3
1521293
hex19afd

105213 has 8 divisors (see below), whose sum is σ = 148608. Its totient is φ = 65984.

The previous prime is 105211. The next prime is 105227. The reversal of 105213 is 312501.

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 105213 - 21 = 105211 is a prime.

It is a super-2 number, since 2×1052132 = 22139550738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105211) 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, 981 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (18576).

2105213 is an apocalyptic number.

It is an amenable number.

105213 is a deficient number, since it is larger than the sum of its proper divisors (43395).

105213 is a wasteful number, since it uses less digits than its factorization.

105213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105213 is about 324.3655345440. The cubic root of 105213 is about 47.2088188540.

Adding to 105213 its reverse (312501), we get a palindrome (417714).

The spelling of 105213 in words is "one hundred five thousand, two hundred thirteen".

Divisors: 1 3 17 51 2063 6189 35071 105213