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105134521321 = 192291231361
BaseRepresentation
bin110000111101010000…
…0010111101111101001
3101001101000011001101001
41201322200113233221
53210303414140241
6120144221355001
710411221454264
oct1417240275751
9331330131331
10105134521321
1140650772a55
1218461408a61
139bb64aaa3b
145134d3bcdb
152b04db4431
hex187a817be9

105134521321 has 6 divisors (see below), whose sum is σ = 110959148922. Its totient is φ = 99601125120.

The previous prime is 105134521237. The next prime is 105134521333. The reversal of 105134521321 is 123125431501.

It can be written as a sum of positive squares in only one way, i.e., 83625072400 + 21509448921 = 289180^2 + 146661^2 .

It is not a de Polignac number, because 105134521321 - 213 = 105134513129 is a prime.

It is a super-2 number, since 2×1051345213212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105134521321.

It is not an unprimeable number, because it can be changed into a prime (105134521351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145615320 + ... + 145616041.

It is an arithmetic number, because the mean of its divisors is an integer number (18493191487).

Almost surely, 2105134521321 is an apocalyptic number.

It is an amenable number.

105134521321 is a deficient number, since it is larger than the sum of its proper divisors (5824627601).

105134521321 is an equidigital number, since it uses as much as digits as its factorization.

105134521321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291231399 (or 291231380 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 105134521321 its reverse (123125431501), we get a palindrome (228259952822).

The spelling of 105134521321 in words is "one hundred five billion, one hundred thirty-four million, five hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 19 361 291231361 5533395859 105134521321