Search a number
-
+
106523534125 = 53852188273
BaseRepresentation
bin110001100110101001…
…1000010001100101101
3101011221210211012201201
41203031103002030231
53221130011043000
6120534121005501
710460516046301
oct1431523021455
9334853735651
10106523534125
11411a3837918
121878a623891
13a0781b04c8
1452275cdd01
152b86cd896a
hex18cd4c232d

106523534125 has 8 divisors (see below), whose sum is σ = 132941370744. Its totient is φ = 85218827200.

The previous prime is 106523534083. The next prime is 106523534141. The reversal of 106523534125 is 521435325601.

It can be written as a sum of positive squares in 4 ways, for example, as 19221604164 + 87301929961 = 138642^2 + 295469^2 .

It is not a de Polignac number, because 106523534125 - 27 = 106523533997 is a prime.

It is a super-2 number, since 2×1065235341252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 426094012 + ... + 426094261.

It is an arithmetic number, because the mean of its divisors is an integer number (16617671343).

Almost surely, 2106523534125 is an apocalyptic number.

It is an amenable number.

106523534125 is a deficient number, since it is larger than the sum of its proper divisors (26417836619).

106523534125 is an frugal number, since it uses more digits than its factorization.

106523534125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852188288 (or 852188278 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 106523534125 its reverse (521435325601), we get a palindrome (627958859726).

The spelling of 106523534125 in words is "one hundred six billion, five hundred twenty-three million, five hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 5 25 125 852188273 4260941365 21304706825 106523534125