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105223552253 is a prime number
BaseRepresentation
bin110000111111111001…
…1111111110011111101
3101001121012200021211222
41201333303333303331
53210444212133003
6120201121523125
710413352302551
oct1417763776375
9331535607758
10105223552253
1140696a52236
12184871a34a5
139bcba80871
145142ab5861
152b0caedc38
hex187fcffcfd

105223552253 has 2 divisors, whose sum is σ = 105223552254. Its totient is φ = 105223552252.

The previous prime is 105223552199. The next prime is 105223552271. The reversal of 105223552253 is 352255322501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61324083769 + 43899468484 = 247637^2 + 209522^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105223552253 is a prime.

It is a super-2 number, since 2×1052235522532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105223552453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52611776126 + 52611776127.

It is an arithmetic number, because the mean of its divisors is an integer number (52611776127).

Almost surely, 2105223552253 is an apocalyptic number.

It is an amenable number.

105223552253 is a deficient number, since it is larger than the sum of its proper divisors (1).

105223552253 is an equidigital number, since it uses as much as digits as its factorization.

105223552253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90000, while the sum is 35.

Adding to 105223552253 its reverse (352255322501), we get a palindrome (457478874754).

The spelling of 105223552253 in words is "one hundred five billion, two hundred twenty-three million, five hundred fifty-two thousand, two hundred fifty-three".