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105141023 = 1367120713
BaseRepresentation
bin1100100010001…
…01001100011111
321022211201100222
412101011030133
5203404003043
614233311555
72414453411
oct621051437
9238751328
10105141023
1154393009
122b2655bb
1318a23830
14dd6c9b1
15936cd68
hex644531f

105141023 has 8 divisors (see below), whose sum is σ = 114919728. Its totient is φ = 95603904.

The previous prime is 105141007. The next prime is 105141077. The reversal of 105141023 is 320141501.

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 105141023 - 24 = 105141007 is a prime.

It is a super-3 number, since 3×1051410233 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105140992 and 105141010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105141523) 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, 59486 + ... + 61227.

It is an arithmetic number, because the mean of its divisors is an integer number (14364966).

Almost surely, 2105141023 is an apocalyptic number.

105141023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105141023 is a deficient number, since it is larger than the sum of its proper divisors (9778705).

105141023 is a wasteful number, since it uses less digits than its factorization.

105141023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120793.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105141023 is about 10253.8296748093. The cubic root of 105141023 is about 471.9805109616.

Adding to 105141023 its reverse (320141501), we get a palindrome (425282524).

The spelling of 105141023 in words is "one hundred five million, one hundred forty-one thousand, twenty-three".

Divisors: 1 13 67 871 120713 1569269 8087771 105141023