Search a number
-
+
105102431 = 731677229
BaseRepresentation
bin1100100001110…
…11110001011111
321022202202102122
412100323301133
5203401234211
614232413155
72414233040
oct620736137
9238682378
10105102431
1154367015
122b2471bb
1318a0c0b5
14dd5c8c7
1593616db
hex643bc5f

105102431 has 16 divisors (see below), whose sum is σ = 125859840. Its totient is φ = 85868640.

The previous prime is 105102421. The next prime is 105102443. The reversal of 105102431 is 134201501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105102431 is a prime.

It is a super-2 number, since 2×1051024312 = 22093042004219522, 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 (105102421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10925 + ... + 18153.

It is an arithmetic number, because the mean of its divisors is an integer number (7866240).

Almost surely, 2105102431 is an apocalyptic number.

105102431 is a deficient number, since it is larger than the sum of its proper divisors (20757409).

105102431 is an equidigital number, since it uses as much as digits as its factorization.

105102431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7334.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105102431 is about 10251.9476686140. The cubic root of 105102431 is about 471.9227570980.

Adding to 105102431 its reverse (134201501), we get a palindrome (239303932).

The spelling of 105102431 in words is "one hundred five million, one hundred two thousand, four hundred thirty-one".

Divisors: 1 7 31 67 217 469 2077 7229 14539 50603 224099 484343 1568693 3390401 15014633 105102431