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106940295 = 32572114409
BaseRepresentation
bin1100101111111…
…00011110000111
321110020010111200
412113330132013
5204334042140
614340033543
72435656200
oct627743607
9243203450
10106940295
1155401910
122b9928b3
13192037a7
14102ba5a7
1595c6030
hex65fc787

106940295 has 72 divisors (see below), whose sum is σ = 235282320. Its totient is φ = 44432640.

The previous prime is 106940293. The next prime is 106940321. The reversal of 106940295 is 592049601.

106940295 = 4902 + 4912 + ... + 7592.

It is not a de Polignac number, because 106940295 - 21 = 106940293 is a prime.

It is a super-2 number, since 2×1069402952 = 22872453389374050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106940293) 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 71 ways as a sum of consecutive naturals, for example, 22051 + ... + 26459.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2106940295 is an apocalyptic number.

106940295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106940295 is an abundant number, since it is smaller than the sum of its proper divisors (128342025).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106940295 is a wasteful number, since it uses less digits than its factorization.

106940295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 106940295 is about 10341.1940799890. The cubic root of 106940295 is about 474.6576221576.

Adding to 106940295 its reverse (592049601), we get a palindrome (698989896).

The spelling of 106940295 in words is "one hundred six million, nine hundred forty thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 385 441 495 539 693 735 1155 1617 2205 2695 3465 4409 4851 8085 13227 22045 24255 30863 39681 48499 66135 92589 145497 154315 198405 216041 242495 277767 339493 436491 462945 648123 727485 1018479 1080205 1388835 1697465 1944369 2182455 2376451 3055437 3240615 5092395 7129353 9721845 11882255 15277185 21388059 35646765 106940295