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105224119 = 72111315017
BaseRepresentation
bin1100100010110…
…01011110110111
321022222221100121
412101121132313
5203414132434
614235152411
72415250600
oct621313667
9238887317
10105224119
115443a490
122b2a5707
1318a525c0
14dd90da7
1593877b4
hex64597b7

105224119 has 24 divisors (see below), whose sum is σ = 143812368. Its totient is φ = 75680640.

The previous prime is 105224107. The next prime is 105224143. The reversal of 105224119 is 911422501.

It is a happy number.

It is not a de Polignac number, because 105224119 - 25 = 105224087 is a prime.

It is a super-2 number, since 2×1052241192 = 22144230438652322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105224093 and 105224102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105224159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502 + ... + 14515.

It is an arithmetic number, because the mean of its divisors is an integer number (5992182).

Almost surely, 2105224119 is an apocalyptic number.

105224119 is a deficient number, since it is larger than the sum of its proper divisors (38588249).

105224119 is a wasteful number, since it uses less digits than its factorization.

105224119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15055 (or 15048 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 105224119 is about 10257.8808240299. The cubic root of 105224119 is about 472.1048181818.

It can be divided in two parts, 10522 and 4119, that added together give a palindrome (14641).

The spelling of 105224119 in words is "one hundred five million, two hundred twenty-four thousand, one hundred nineteen".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 15017 105119 165187 195221 735833 1156309 1366547 2147431 8094163 9565829 15032017 105224119