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106423065 = 36574397
BaseRepresentation
bin1100101011111…
…10001100011001
321102020212000000
412111332030121
5204221014230
614321003213
72431403220
oct625761431
9242225000
10106423065
1155089251
122b783509
1319082238
14101c3cb7
159522b60
hex657e319

106423065 has 112 divisors (see below), whose sum is σ = 226224768. Its totient is φ = 47029248.

The previous prime is 106423049. The next prime is 106423081. The reversal of 106423065 is 560324601.

106423065 = T405 + T406 + ... + T889.

106423065 is a `hidden beast` number, since 10 + 642 + 3 + 0 + 6 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106423049) and next prime (106423081).

It is not a de Polignac number, because 106423065 - 24 = 106423049 is a prime.

It is a super-2 number, since 2×1064230652 = 22651737527988450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1097097 + ... + 1097193.

It is an arithmetic number, because the mean of its divisors is an integer number (2019864).

Almost surely, 2106423065 is an apocalyptic number.

106423065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106423065 is an abundant number, since it is smaller than the sum of its proper divisors (119801703).

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

106423065 is an frugal number, since it uses more digits than its factorization.

106423065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106423065 is about 10316.1555339186. The cubic root of 106423065 is about 473.8911382752.

Adding to 106423065 its reverse (560324601), we get a palindrome (666747666).

The spelling of 106423065 in words is "one hundred six million, four hundred twenty-three thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 81 97 105 129 135 189 215 243 291 301 315 387 405 485 567 645 679 729 873 903 945 1161 1215 1455 1505 1701 1935 2037 2619 2709 2835 3395 3483 3645 4171 4365 4515 5103 5805 6111 7857 8127 8505 10185 10449 12513 13095 13545 17415 18333 20855 23571 24381 25515 29197 30555 31347 37539 39285 40635 52245 54999 62565 70713 73143 87591 91665 112617 117855 121905 145985 156735 164997 187695 219429 262773 274995 337851 353565 365715 437955 494991 563085 788319 824985 1013553 1097145 1313865 1689255 2364957 2474955 3040659 3941595 5067765 7094871 11824785 15203295 21284613 35474355 106423065