Search a number
-
+
106134940785 = 35195415771193
BaseRepresentation
bin110001011011000100…
…0101010110001110001
3101010221201121121212210
41202312020222301301
53214331021101120
6120431400042333
710445060053146
oct1426610526161
9333851547783
10106134940785
11410144529a5
12186a04633a9
13a015833b13
1451cbb583cd
152b62b29ce0
hex18b622ac71

106134940785 has 64 divisors (see below), whose sum is σ = 179544741120. Its totient is φ = 53389393920.

The previous prime is 106134940783. The next prime is 106134940817. The reversal of 106134940785 is 587049431601.

It is not a de Polignac number, because 106134940785 - 21 = 106134940783 is a prime.

It is a super-2 number, since 2×1061349407852 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106134940783) 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 63 ways as a sum of consecutive naturals, for example, 88964149 + ... + 88965341.

It is an arithmetic number, because the mean of its divisors is an integer number (2805386580).

Almost surely, 2106134940785 is an apocalyptic number.

106134940785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106134940785 is a deficient number, since it is larger than the sum of its proper divisors (73409800335).

106134940785 is a wasteful number, since it uses less digits than its factorization.

106134940785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338.

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 106134940785 in words is "one hundred six billion, one hundred thirty-four million, nine hundred forty thousand, seven hundred eighty-five".

Divisors: 1 3 5 15 19 57 95 285 541 577 1193 1623 1731 2705 2885 3579 5965 8115 8655 10279 10963 17895 22667 30837 32889 51395 54815 68001 113335 154185 164445 312157 340005 645413 688361 936471 1560785 1936239 2065083 3227065 3441805 4682355 5930983 9681195 10325415 12262847 13078859 17792949 29654915 36788541 39236577 61314235 65394295 88964745 183942705 196182885 372403301 1117209903 1862016505 5586049515 7075662719 21226988157 35378313595 106134940785