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105441204 = 223111137069
BaseRepresentation
bin1100100100011…
…10011110110100
321100101222010210
412102032132310
5203443104304
614243545420
72420143521
oct622163664
9240358123
10105441204
11545785a0
122b38b270
1318aca35b
141000a148
1593cbc89
hex648e7b4

105441204 has 48 divisors (see below), whose sum is σ = 270809280. Its totient is φ = 31664640.

The previous prime is 105441169. The next prime is 105441209. The reversal of 105441204 is 402144501.

It is a happy number.

It is a super-2 number, since 2×1054412042 = 22235695001939232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105441209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11382 + ... + 18450.

It is an arithmetic number, because the mean of its divisors is an integer number (5641860).

Almost surely, 2105441204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105441204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135404640).

105441204 is an abundant number, since it is smaller than the sum of its proper divisors (165368076).

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

105441204 is a wasteful number, since it uses less digits than its factorization.

105441204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7200 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 105441204 is about 10268.4567487038. The cubic root of 105441204 is about 472.4292573466.

Adding to 105441204 its reverse (402144501), we get a palindrome (507585705).

The spelling of 105441204 in words is "one hundred five million, four hundred forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 1243 1356 2486 3729 4972 7069 7458 14138 14916 21207 28276 42414 77759 84828 155518 233277 311036 466554 798797 933108 1597594 2396391 3195188 4792782 8786767 9585564 17573534 26360301 35147068 52720602 105441204