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105401436 = 22371966041
BaseRepresentation
bin1100100100001…
…00110001011100
321100022221120220
412102010301130
5203440321221
614243041340
72416616550
oct622046134
9240287526
10105401436
1154550728
122b370250
1318ab521a
14ddd9860
1593c00c6
hex6484c5c

105401436 has 48 divisors (see below), whose sum is σ = 295868160. Its totient is φ = 28529280.

The previous prime is 105401431. The next prime is 105401437. The reversal of 105401436 is 634104501.

It is a super-2 number, since 2×1054014362 = 22218925421724192, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105401431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31425 + ... + 34616.

It is an arithmetic number, because the mean of its divisors is an integer number (6163920).

Almost surely, 2105401436 is an apocalyptic number.

It is an amenable number.

105401436 is an abundant number, since it is smaller than the sum of its proper divisors (190466724).

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

105401436 is a wasteful number, since it uses less digits than its factorization.

105401436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66074 (or 66072 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105401436 is about 10266.5201504697. The cubic root of 105401436 is about 472.3698563773.

Adding to 105401436 its reverse (634104501), we get a palindrome (739505937).

The spelling of 105401436 in words is "one hundred five million, four hundred one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 66041 132082 198123 264164 396246 462287 792492 924574 1254779 1386861 1849148 2509558 2773722 3764337 5019116 5547444 7528674 8783453 15057348 17566906 26350359 35133812 52700718 105401436