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105240253 is a prime number
BaseRepresentation
bin1100100010111…
…01011010111101
321100000202111011
412101131122331
5203420142003
614235355221
72415345616
oct621353275
9240022434
10105240253
1154450618
122b2b2b11
1318a59a51
14dd96c0d
15938c46d
hex645d6bd

105240253 has 2 divisors, whose sum is σ = 105240254. Its totient is φ = 105240252.

The previous prime is 105240211. The next prime is 105240269. The reversal of 105240253 is 352042501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105226564 + 13689 = 10258^2 + 117^2 .

It is an emirp because it is prime and its reverse (352042501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105240253 is a prime.

It is a super-2 number, since 2×1052402532 = 22151021703008018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105247253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52620126 + 52620127.

It is an arithmetic number, because the mean of its divisors is an integer number (52620127).

Almost surely, 2105240253 is an apocalyptic number.

It is an amenable number.

105240253 is a deficient number, since it is larger than the sum of its proper divisors (1).

105240253 is an equidigital number, since it uses as much as digits as its factorization.

105240253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 105240253 is about 10258.6672136297. The cubic root of 105240253 is about 472.1289462048.

Adding to 105240253 its reverse (352042501), we get a palindrome (457282754).

The spelling of 105240253 in words is "one hundred five million, two hundred forty thousand, two hundred fifty-three".