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106069365 = 3354773229
BaseRepresentation
bin1100101001001…
…11110101110101
321101120212211000
412110213311311
5204123204430
614305233513
72425401063
oct624476565
9241525730
10106069365
1154967536
122b632899
1318c8a24c
1410131033
1594a2e60
hex6527d75

106069365 has 64 divisors (see below), whose sum is σ = 196070400. Its totient is φ = 54369792.

The previous prime is 106069363. The next prime is 106069391. The reversal of 106069365 is 563960601.

106069365 is a `hidden beast` number, since 10 + 606 + 9 + 36 + 5 = 666.

It is not a de Polignac number, because 106069365 - 21 = 106069363 is a prime.

It is a super-2 number, since 2×1060693652 = 22501420383006450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106069363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463071 + ... + 463299.

It is an arithmetic number, because the mean of its divisors is an integer number (3063600).

Almost surely, 2106069365 is an apocalyptic number.

106069365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106069365 is a deficient number, since it is larger than the sum of its proper divisors (90001035).

106069365 is a wasteful number, since it uses less digits than its factorization.

106069365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 106069365 is about 10298.9982522574. The cubic root of 106069365 is about 473.3655588168.

Adding to 106069365 its sum of digits (36), we get a square (106069401 = 102992).

The spelling of 106069365 in words is "one hundred six million, sixty-nine thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 47 73 135 141 219 229 235 365 423 657 687 705 1095 1145 1269 1971 2061 2115 3285 3431 3435 6183 6345 9855 10293 10305 10763 16717 17155 30879 30915 32289 50151 51465 53815 83585 92637 96867 150453 154395 161445 250755 290601 451359 463185 484335 752265 785699 1453005 2256795 2357097 3928495 7071291 11785485 21213873 35356455 106069365