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105226021 is a prime number
BaseRepresentation
bin1100100010110…
…01111100100101
321100000000222001
412101121330211
5203414213041
614235205301
72415256255
oct621317445
9240000861
10105226021
115444095a
122b2a6831
1318a53424
14dd91965
159388131
hex6459f25

105226021 has 2 divisors, whose sum is σ = 105226022. Its totient is φ = 105226020.

The previous prime is 105226019. The next prime is 105226057. The reversal of 105226021 is 120622501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81703521 + 23522500 = 9039^2 + 4850^2 .

It is a cyclic number.

It is not a de Polignac number, because 105226021 - 21 = 105226019 is a prime.

It is a super-2 number, since 2×1052260212 = 22145030990984882, which contains 22 as substring.

Together with 105226019, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 105226021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105226061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52613010 + 52613011.

It is an arithmetic number, because the mean of its divisors is an integer number (52613011).

Almost surely, 2105226021 is an apocalyptic number.

It is an amenable number.

105226021 is a deficient number, since it is larger than the sum of its proper divisors (1).

105226021 is an equidigital number, since it uses as much as digits as its factorization.

105226021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 105226021 is about 10257.9735328183. The cubic root of 105226021 is about 472.1076627070.

Adding to 105226021 its reverse (120622501), we get a palindrome (225848522).

The spelling of 105226021 in words is "one hundred five million, two hundred twenty-six thousand, twenty-one".