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105322256 = 2413506357
BaseRepresentation
bin1100100011100…
…01011100010000
321100011220222022
412101301130100
5203430303011
614241231012
72416136654
oct621613420
9240156868
10105322256
11544a7196
122b332468
1318a88180
14ddb8a64
1593a68db
hex6471710

105322256 has 20 divisors (see below), whose sum is σ = 219759372. Its totient is φ = 48610176.

The previous prime is 105322237. The next prime is 105322277. The reversal of 105322256 is 652223501.

It can be written as a sum of positive squares in 2 ways, for example, as 60217600 + 45104656 = 7760^2 + 6716^2 .

It is a super-2 number, since 2×1053222562 = 22185555217859072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 3 ways as a sum of consecutive naturals, for example, 252971 + ... + 253386.

Almost surely, 2105322256 is an apocalyptic number.

105322256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105322256 is an abundant number, since it is smaller than the sum of its proper divisors (114437116).

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

105322256 is a wasteful number, since it uses less digits than its factorization.

105322256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506378 (or 506372 counting only the distinct ones).

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

The square root of 105322256 is about 10262.6632021128. The cubic root of 105322256 is about 472.2515416864.

Adding to 105322256 its reverse (652223501), we get a palindrome (757545757).

The spelling of 105322256 in words is "one hundred five million, three hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 506357 1012714 2025428 4050856 6582641 8101712 13165282 26330564 52661128 105322256