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105411141 = 32112713929
BaseRepresentation
bin1100100100001…
…11001001000101
321100100102220100
412102013021011
5203441124031
614243154313
72416660053
oct622071105
9240312810
10105411141
1154557a50
122b375999
1318ab9774
14dddd1d3
1593c2de6
hex6487245

105411141 has 24 divisors (see below), whose sum is σ = 166757760. Its totient is φ = 63633600.

The previous prime is 105411133. The next prime is 105411151. The reversal of 105411141 is 141114501.

105411141 is a `hidden beast` number, since 10 + 541 + 114 + 1 = 666.

It is not a de Polignac number, because 105411141 - 23 = 105411133 is a prime.

It is a super-2 number, since 2×1054111412 = 22223017293843762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105411151) 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 23 ways as a sum of consecutive naturals, for example, 24865 + ... + 28793.

It is an arithmetic number, because the mean of its divisors is an integer number (6948240).

Almost surely, 2105411141 is an apocalyptic number.

105411141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105411141 is a deficient number, since it is larger than the sum of its proper divisors (61346619).

105411141 is a wasteful number, since it uses less digits than its factorization.

105411141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 105411141 is about 10266.9927924393. The cubic root of 105411141 is about 472.3843539937.

Adding to 105411141 its reverse (141114501), we get a palindrome (246525642).

The spelling of 105411141 in words is "one hundred five million, four hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 271 813 2439 2981 3929 8943 11787 26829 35361 43219 129657 388971 1064759 3194277 9582831 11712349 35137047 105411141