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106919225 = 527287281
BaseRepresentation
bin1100101111101…
…11010100111001
321110012001121022
412113313110321
5204332403400
614335352225
72435540600
oct627672471
9243161538
10106919225
1155397aa6
122b982675
13191c701a
14102b2a37
1595beb85
hex65f7539

106919225 has 18 divisors (see below), whose sum is σ = 154227294. Its totient is φ = 73315200.

The previous prime is 106919207. The next prime is 106919227. The reversal of 106919225 is 522919601.

It can be written as a sum of positive squares in 3 ways, for example, as 33028009 + 73891216 = 5747^2 + 8596^2 .

It is not a de Polignac number, because 106919225 - 216 = 106853689 is a prime.

It is a super-2 number, since 2×1069192252 = 22863441349201250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106919227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42416 + ... + 44865.

It is an arithmetic number, because the mean of its divisors is an integer number (8568183).

Almost surely, 2106919225 is an apocalyptic number.

It is an amenable number.

106919225 is a deficient number, since it is larger than the sum of its proper divisors (47308069).

106919225 is an equidigital number, since it uses as much as digits as its factorization.

106919225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87305 (or 87293 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 106919225 is about 10340.1752886496. The cubic root of 106919225 is about 474.6264468400.

The spelling of 106919225 in words is "one hundred six million, nine hundred nineteen thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 87281 436405 610967 2182025 3054835 4276769 15274175 21383845 106919225