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106020066125 = 531018397629
BaseRepresentation
bin110001010111101001…
…0011101001101001101
3101010122201110101110202
41202233102131031031
53214112114104000
6120412133543245
710442163456461
oct1425722351515
9333581411422
10106020066125
1140a65621966
1218669aa4b25
139cc7ab2a4c
1451ba7b44a1
152b579d7dd5
hex18af49d34d

106020066125 has 16 divisors (see below), whose sum is σ = 133623088560. Its totient is φ = 83976280000.

The previous prime is 106020066091. The next prime is 106020066127. The reversal of 106020066125 is 521660020601.

It can be written as a sum of positive squares in 8 ways, for example, as 29586064036 + 76434002089 = 172006^2 + 276467^2 .

It is not a de Polignac number, because 106020066125 - 210 = 106020065101 is a prime.

It is a super-2 number, since 2×1060200661252 (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 (106020066127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4186190 + ... + 4211439.

It is an arithmetic number, because the mean of its divisors is an integer number (8351443035).

Almost surely, 2106020066125 is an apocalyptic number.

It is an amenable number.

106020066125 is a deficient number, since it is larger than the sum of its proper divisors (27603022435).

106020066125 is an equidigital number, since it uses as much as digits as its factorization.

106020066125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397745 (or 8397735 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 106020066125 its reverse (521660020601), we get a palindrome (627680086726).

The spelling of 106020066125 in words is "one hundred six billion, twenty million, sixty-six thousand, one hundred twenty-five".

Divisors: 1 5 25 101 125 505 2525 12625 8397629 41988145 209940725 848160529 1049703625 4240802645 21204013225 106020066125