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105230430 = 23253137717
BaseRepresentation
bin1100100010110…
…11000001011110
321100000021000100
412101123001132
5203414333210
614235241530
72415305154
oct621330136
9240007010
10105230430
11544441a8
122b2a92a6
1318a55436
14dd933d4
1593895c0
hex645b05e

105230430 has 48 divisors (see below), whose sum is σ = 282432384. Its totient is φ = 27155520.

The previous prime is 105230423. The next prime is 105230431. The reversal of 105230430 is 34032501.

105230430 is a `hidden beast` number, since 1 + 0 + 5 + 230 + 430 = 666.

It is a super-2 number, since 2×1052304302 = 22146886795969800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105230431) 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 23 ways as a sum of consecutive naturals, for example, 16069 + ... + 21648.

It is an arithmetic number, because the mean of its divisors is an integer number (5884008).

Almost surely, 2105230430 is an apocalyptic number.

105230430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105230430 is an abundant number, since it is smaller than the sum of its proper divisors (177201954).

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

105230430 is a wasteful number, since it uses less digits than its factorization.

105230430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37761 (or 37758 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 105230430 is about 10258.1884365613. The cubic root of 105230430 is about 472.1142564297.

Adding to 105230430 its reverse (34032501), we get a palindrome (139262931).

The spelling of 105230430 in words is "one hundred five million, two hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 37717 75434 113151 188585 226302 339453 377170 565755 678906 1131510 1169227 1697265 2338454 3394530 3507681 5846135 7015362 10523043 11692270 17538405 21046086 35076810 52615215 105230430