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105214251 = 397361561
BaseRepresentation
bin1100100010101…
…11000100101011
321022222102211010
412101113010223
5203413324001
614235035003
72415210042
oct621270453
9238872733
10105214251
115443302a
122b29ba63
1318a4ac6c
14dd8b559
1593848d6
hex645712b

105214251 has 8 divisors (see below), whose sum is σ = 141732304. Its totient is φ = 69419520.

The previous prime is 105214223. The next prime is 105214289. The reversal of 105214251 is 152412501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105214251 - 214 = 105197867 is a prime.

It is a super-2 number, since 2×1052142512 = 22140077226982002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105214201) 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, 180490 + ... + 181071.

It is an arithmetic number, because the mean of its divisors is an integer number (17716538).

Almost surely, 2105214251 is an apocalyptic number.

105214251 is a deficient number, since it is larger than the sum of its proper divisors (36518053).

105214251 is an equidigital number, since it uses as much as digits as its factorization.

105214251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361661.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105214251 is about 10257.3998167177. The cubic root of 105214251 is about 472.0900596010.

Adding to 105214251 its reverse (152412501), we get a palindrome (257626752).

The spelling of 105214251 in words is "one hundred five million, two hundred fourteen thousand, two hundred fifty-one".

Divisors: 1 3 97 291 361561 1084683 35071417 105214251