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105023420 = 22525120921
BaseRepresentation
bin1100100001010…
…00011110111100
321022121202001022
412100220132330
5203341222140
614231003312
72413453505
oct620503674
9238552038
10105023420
1154312717
122b209538
13189b2148
14dd3bbac
1593480b5
hex64287bc

105023420 has 24 divisors (see below), whose sum is σ = 221438448. Its totient is φ = 41840000.

The previous prime is 105023419. The next prime is 105023437. The reversal of 105023420 is 24320501.

It is a super-2 number, since 2×1050234202 = 22059837496992800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 5441 + ... + 15480.

It is an arithmetic number, because the mean of its divisors is an integer number (9226602).

Almost surely, 2105023420 is an apocalyptic number.

105023420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105023420 is an abundant number, since it is smaller than the sum of its proper divisors (116415028).

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

105023420 is a wasteful number, since it uses less digits than its factorization.

105023420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21181 (or 21179 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 105023420 is about 10248.0934812286. The cubic root of 105023420 is about 471.8044711045.

Adding to 105023420 its reverse (24320501), we get a palindrome (129343921).

The spelling of 105023420 in words is "one hundred five million, twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 251 502 1004 1255 2510 5020 20921 41842 83684 104605 209210 418420 5251171 10502342 21004684 26255855 52511710 105023420