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105221437 is a prime number
BaseRepresentation
bin1100100010110…
…00110100111101
321022222210200021
412101120310331
5203414041222
614235132141
72415240016
oct621306475
9238883607
10105221437
1154438472
122b2a4051
1318a51309
14dd9000d
159386ac7
hex6458d3d

105221437 has 2 divisors, whose sum is σ = 105221438. Its totient is φ = 105221436.

The previous prime is 105221393. The next prime is 105221453. The reversal of 105221437 is 734122501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83375161 + 21846276 = 9131^2 + 4674^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105221437 is a prime.

It is a super-2 number, since 2×1052214372 = 22143101608689938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105224437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52610718 + 52610719.

It is an arithmetic number, because the mean of its divisors is an integer number (52610719).

Almost surely, 2105221437 is an apocalyptic number.

It is an amenable number.

105221437 is a deficient number, since it is larger than the sum of its proper divisors (1).

105221437 is an equidigital number, since it uses as much as digits as its factorization.

105221437 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 105221437 is about 10257.7500944408. The cubic root of 105221437 is about 472.1008070740.

Adding to 105221437 its reverse (734122501), we get a palindrome (839343938).

The spelling of 105221437 in words is "one hundred five million, two hundred twenty-one thousand, four hundred thirty-seven".