Search a number
-
+
105220530 = 23254212777
BaseRepresentation
bin1100100010110…
…00100110110010
321022222202102200
412101120212302
5203414024110
614235124030
72415234252
oct621304662
9238882380
10105220530
1154437818
122b2a3616
1318a50a8c
14dd8d962
1593866c0
hex64589b2

105220530 has 48 divisors (see below), whose sum is σ = 274321944. Its totient is φ = 27982080.

The previous prime is 105220519. The next prime is 105220559. The reversal of 105220530 is 35022501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29582721 + 75637809 = 5439^2 + 8697^2 .

It is a super-2 number, since 2×1052205302 = 22142719866961800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36502 + ... + 39278.

Almost surely, 2105220530 is an apocalyptic number.

105220530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105220530 is an abundant number, since it is smaller than the sum of its proper divisors (169101414).

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

105220530 is a wasteful number, since it uses less digits than its factorization.

105220530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105220530 is about 10257.7058838709. The cubic root of 105220530 is about 472.0994505802.

The spelling of 105220530 in words is "one hundred five million, two hundred twenty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 421 842 1263 2105 2526 2777 3789 4210 5554 6315 7578 8331 12630 13885 16662 18945 24993 27770 37890 41655 49986 83310 124965 249930 1169117 2338234 3507351 5845585 7014702 10522053 11691170 17536755 21044106 35073510 52610265 105220530