Search a number
-
+
105831012 = 22377091777
BaseRepresentation
bin1100100111011…
…01101001100100
321101010202212010
412103231221210
5204043043022
614300154220
72423356140
oct623555144
9241122763
10105831012
1154814451
122b538970
1318c05901
14100ac220
15945750c
hex64eda64

105831012 has 48 divisors (see below), whose sum is σ = 282773120. Its totient is φ = 30177792.

The previous prime is 105830987. The next prime is 105831013. The reversal of 105831012 is 210138501.

It is a super-2 number, since 2×1058310122 = 22400406201888288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 105831012.

It is not an unprimeable number, because it can be changed into a prime (105831013) 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, 58668 + ... + 60444.

Almost surely, 2105831012 is an apocalyptic number.

105831012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105831012 is an abundant number, since it is smaller than the sum of its proper divisors (176942108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105831012 is a wasteful number, since it uses less digits than its factorization.

105831012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 105831012 is about 10287.4200847443. The cubic root of 105831012 is about 473.0107195714.

Adding to 105831012 its reverse (210138501), we get a palindrome (315969513).

The spelling of 105831012 in words is "one hundred five million, eight hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 709 1418 1777 2127 2836 3554 4254 4963 5331 7108 8508 9926 10662 12439 14889 19852 21324 24878 29778 37317 49756 59556 74634 149268 1259893 2519786 3779679 5039572 7559358 8819251 15118716 17638502 26457753 35277004 52915506 105831012