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105023456 = 2561173311
BaseRepresentation
bin1100100001010…
…00011111100000
321022121202002122
412100220133200
5203341222311
614231003412
72413453556
oct620503740
9238552078
10105023456
115431274a
122b209568
13189b2175
14dd3bbd6
1593480db
hex64287e0

105023456 has 48 divisors (see below), whose sum is σ = 212048928. Its totient is φ = 51187200.

The previous prime is 105023447. The next prime is 105023473. The reversal of 105023456 is 654320501.

It is a super-2 number, since 2×1050234562 = 22059852620367872, 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337541 + ... + 337851.

It is an arithmetic number, because the mean of its divisors is an integer number (4417686).

Almost surely, 2105023456 is an apocalyptic number.

105023456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105023456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106024464).

105023456 is an abundant number, since it is smaller than the sum of its proper divisors (107025472).

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

105023456 is a wasteful number, since it uses less digits than its factorization.

105023456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 105023456 is about 10248.0952376527. The cubic root of 105023456 is about 471.8045250129.

Adding to 105023456 its reverse (654320501), we get a palindrome (759343957).

The spelling of 105023456 in words is "one hundred five million, twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 122 173 244 311 346 488 622 692 976 1244 1384 1952 2488 2768 4976 5536 9952 10553 18971 21106 37942 42212 53803 75884 84424 107606 151768 168848 215212 303536 337696 430424 607072 860848 1721696 3281983 6563966 13127932 26255864 52511728 105023456