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105141531 = 3113786111
BaseRepresentation
bin1100100010001…
…01010100011011
321022211202001210
412101011110123
5203404012111
614233314203
72414455035
oct621052433
9238752053
10105141531
1154393430
122b265963
1318a23b31
14dd6cc55
15936d0a6
hex644551b

105141531 has 16 divisors (see below), whose sum is σ = 157068288. Its totient is φ = 61999200.

The previous prime is 105141529. The next prime is 105141551. The reversal of 105141531 is 135141501.

It is a happy number.

It is not a de Polignac number, because 105141531 - 21 = 105141529 is a prime.

It is a super-2 number, since 2×1051415312 = 22109483082047922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105141498 and 105141507.

It is not an unprimeable number, because it can be changed into a prime (105141521) 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, 41835 + ... + 44276.

It is an arithmetic number, because the mean of its divisors is an integer number (9816768).

Almost surely, 2105141531 is an apocalyptic number.

105141531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105141531 is a deficient number, since it is larger than the sum of its proper divisors (51926757).

105141531 is a wasteful number, since it uses less digits than its factorization.

105141531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86162.

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 105141531 is about 10253.8544460120. The cubic root of 105141531 is about 471.9812711016.

The spelling of 105141531 in words is "one hundred five million, one hundred forty-one thousand, five hundred thirty-one".

Divisors: 1 3 11 33 37 111 407 1221 86111 258333 947221 2841663 3186107 9558321 35047177 105141531