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106000124325 = 3523739679629
BaseRepresentation
bin110001010111000011…
…0011000100110100101
3101010121022221020110120
41202232012120212211
53214042012434300
6120410142312153
710441532122224
oct1425606304645
9333538836416
10106000124325
1140a55341337
1218663288659
139cc391cc74
1451b7ca2cbb
152b55d993a0
hex18ae1989a5

106000124325 has 48 divisors (see below), whose sum is σ = 180054190080. Its totient is φ = 54985893120.

The previous prime is 106000124323. The next prime is 106000124341. The reversal of 106000124325 is 523421000601.

It is not a de Polignac number, because 106000124325 - 21 = 106000124323 is a prime.

It is a super-2 number, since 2×1060001243252 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106000124295 and 106000124304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000124323) 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 47 ways as a sum of consecutive naturals, for example, 11003611 + ... + 11013239.

It is an arithmetic number, because the mean of its divisors is an integer number (3751128960).

Almost surely, 2106000124325 is an apocalyptic number.

106000124325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106000124325 is a deficient number, since it is larger than the sum of its proper divisors (74054065755).

106000124325 is a wasteful number, since it uses less digits than its factorization.

106000124325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13646 (or 13641 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 106000124325 its reverse (523421000601), we get a palindrome (629421124926).

The spelling of 106000124325 in words is "one hundred six billion, one hundred twenty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 37 75 111 185 555 925 2775 3967 9629 11901 19835 28887 48145 59505 99175 144435 146779 240725 297525 356273 440337 722175 733895 1068819 1781365 2201685 3669475 5344095 8906825 11008425 26720475 38198243 114594729 190991215 572973645 954956075 1413334991 2864868225 4240004973 7066674955 21200024865 35333374775 106000124325