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105333325 = 524213333
BaseRepresentation
bin1100100011101…
…00001001001101
321100012111011021
412101310021031
5203431131300
614241354141
72416214146
oct621641115
9240174137
10105333325
1154504539
122b338951
1318a90216
14ddbcacd
1593a9d1a
hex647424d

105333325 has 6 divisors (see below), whose sum is σ = 130613354. Its totient is φ = 84266640.

The previous prime is 105333323. The next prime is 105333331. The reversal of 105333325 is 523333501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2696164 + 102637161 = 1642^2 + 10131^2 .

It is not a de Polignac number, because 105333325 - 21 = 105333323 is a prime.

It is a super-2 number, since 2×1053333252 = 22190218711111250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 4213333 = 105333325 / (1 + 0 + 5 + 3 + 3 + 3 + 3 + 2 + 5).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105333325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105333323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2106642 + ... + 2106691.

Almost surely, 2105333325 is an apocalyptic number.

It is an amenable number.

105333325 is a deficient number, since it is larger than the sum of its proper divisors (25280029).

105333325 is an equidigital number, since it uses as much as digits as its factorization.

105333325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213343 (or 4213338 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

The square root of 105333325 is about 10263.2024729126. The cubic root of 105333325 is about 472.2680851009.

Adding to 105333325 its reverse (523333501), we get a palindrome (628666826).

It can be divided in two parts, 10 and 5333325, that added together give a palindrome (5333335).

The spelling of 105333325 in words is "one hundred five million, three hundred thirty-three thousand, three hundred twenty-five".

Divisors: 1 5 25 4213333 21066665 105333325