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106065343790 = 25717244911677
BaseRepresentation
bin110001011000111111…
…1001011010100101110
3101010202212122201202022
41202301333023110232
53214210212000130
6120420432230142
710443253355360
oct1426177132456
9333685581668
10106065343790
1140a8913771a
121868109b352
13a0042a6873
1451c27dcd30
152b5b97d7e5
hex18b1fcb52e

106065343790 has 96 divisors (see below), whose sum is σ = 232317460800. Its totient is φ = 34146975744.

The previous prime is 106065343777. The next prime is 106065343799. The reversal of 106065343790 is 97343560601.

It is a happy number.

It is a super-2 number, since 2×1060653437902 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106065343799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9077432 + ... + 9089108.

It is an arithmetic number, because the mean of its divisors is an integer number (2419973550).

Almost surely, 2106065343790 is an apocalyptic number.

106065343790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106065343790 is an abundant number, since it is smaller than the sum of its proper divisors (126252117010).

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

106065343790 is a wasteful number, since it uses less digits than its factorization.

106065343790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12174 (or 12157 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 106065343790 in words is "one hundred six billion, sixty-five million, three hundred forty-three thousand, seven hundred ninety".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 289 449 578 595 898 1190 1445 2023 2245 2890 3143 4046 4490 6286 7633 10115 11677 15266 15715 20230 23354 31430 38165 53431 58385 76330 81739 106862 116770 129761 163478 198509 259522 267155 397018 408695 534310 648805 817390 908327 992545 1297610 1389563 1816654 1985090 2779126 3374653 4541635 5242973 6749306 6947815 9083270 10485946 13895630 16873265 23622571 26214865 33746530 36700811 47245142 52429730 73401622 89130541 118112855 178261082 183504055 236225710 367008110 445652705 623913787 891305410 1247827574 1515219197 3030438394 3119568935 6239137870 7576095985 10606534379 15152191970 21213068758 53032671895 106065343790