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105226345 = 57172101103
BaseRepresentation
bin1100100010110…
…10000001101001
321100000001102001
412101122001221
5203414220340
614235211001
72415260230
oct621320151
9240001361
10105226345
1154441124
122b2a6a61
1318a53613
14dd91b17
15938829a
hex645a069

105226345 has 48 divisors (see below), whose sum is σ = 156319488. Its totient is φ = 66585600.

The previous prime is 105226343. The next prime is 105226367. The reversal of 105226345 is 543622501.

It is not a de Polignac number, because 105226345 - 21 = 105226343 is a prime.

It is a super-2 number, since 2×1052263452 = 22145167364118050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105226343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021564 + ... + 1021666.

It is an arithmetic number, because the mean of its divisors is an integer number (3256656).

Almost surely, 2105226345 is an apocalyptic number.

It is an amenable number.

105226345 is a deficient number, since it is larger than the sum of its proper divisors (51093143).

105226345 is a wasteful number, since it uses less digits than its factorization.

105226345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 105226345 is about 10257.9893253990. The cubic root of 105226345 is about 472.1081472599.

Adding to 105226345 its reverse (543622501), we get a palindrome (648848846).

The spelling of 105226345 in words is "one hundred five million, two hundred twenty-six thousand, three hundred forty-five".

Divisors: 1 5 7 17 35 85 101 103 119 289 505 515 595 707 721 1445 1717 1751 2023 3535 3605 8585 8755 10115 10403 12019 12257 29189 29767 52015 60095 61285 72821 145945 148835 176851 204323 208369 364105 884255 1021615 1041845 1237957 3006467 6189785 15032335 21045269 105226345