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105102133 = 191354941
BaseRepresentation
bin1100100001110…
…11101100110101
321022202202000121
412100323230311
5203401232013
614232411541
72414232133
oct620735465
9238682017
10105102133
1154366874
122b246bb1
1318a0bc16
14dd5c753
15936158d
hex643bb35

105102133 has 4 divisors (see below), whose sum is σ = 105158988. Its totient is φ = 105045280.

The previous prime is 105102131. The next prime is 105102161. The reversal of 105102133 is 331201501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 331201501 = 1747189583.

It can be written as a sum of positive squares in 2 ways, for example, as 89245809 + 15856324 = 9447^2 + 3982^2 .

It is a cyclic number.

It is not a de Polignac number, because 105102133 - 21 = 105102131 is a prime.

It is a super-2 number, since 2×1051021332 = 22092916722299378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105102131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25558 + ... + 29383.

It is an arithmetic number, because the mean of its divisors is an integer number (26289747).

Almost surely, 2105102133 is an apocalyptic number.

It is an amenable number.

105102133 is a deficient number, since it is larger than the sum of its proper divisors (56855).

105102133 is an equidigital number, since it uses as much as digits as its factorization.

105102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56854.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105102133 is about 10251.9331347800. The cubic root of 105102133 is about 471.9223110787.

Adding to 105102133 its reverse (331201501), we get a palindrome (436303634).

The spelling of 105102133 in words is "one hundred five million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 1913 54941 105102133