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105306141 = 3115130497
BaseRepresentation
bin1100100011011…
…01100000011101
321100011002212110
412101231200131
5203424244031
614241024233
72416041663
oct621554035
9240132773
10105306141
1154496076
122b325079
1318a80a35
14ddb2c33
1593a1c46
hex646d81d

105306141 has 8 divisors (see below), whose sum is σ = 140534784. Its totient is φ = 70140800.

The previous prime is 105306139. The next prime is 105306193. The reversal of 105306141 is 141603501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105306141 - 21 = 105306139 is a prime.

It is a super-2 number, since 2×1053061412 = 22178766664623762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105306541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11796 + ... + 18701.

It is an arithmetic number, because the mean of its divisors is an integer number (17566848).

Almost surely, 2105306141 is an apocalyptic number.

It is an amenable number.

105306141 is a deficient number, since it is larger than the sum of its proper divisors (35228643).

105306141 is a wasteful number, since it uses less digits than its factorization.

105306141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31651.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105306141 is about 10261.8780444907. The cubic root of 105306141 is about 472.2274545907.

Adding to 105306141 its reverse (141603501), we get a palindrome (246909642).

The spelling of 105306141 in words is "one hundred five million, three hundred six thousand, one hundred forty-one".

Divisors: 1 3 1151 3453 30497 91491 35102047 105306141