Search a number
-
+
105464045125 = 532773045893
BaseRepresentation
bin110001000111000100…
…1011001111001000101
3101002012222012121001101
41202032021121321011
53211442243421000
6120241032300101
710422332410135
oct1421611317105
9332188177041
10105464045125
11407aa78207a
1218533841631
139c39844b3a
1451669d8ac5
152b23ca5e6a
hex188e259e45

105464045125 has 16 divisors (see below), whose sum is σ = 132094330992. Its totient is φ = 84066619200.

The previous prime is 105464045111. The next prime is 105464045147. The reversal of 105464045125 is 521540464501.

It can be written as a sum of positive squares in 8 ways, for example, as 57162115396 + 48301929729 = 239086^2 + 219777^2 .

It is not a de Polignac number, because 105464045125 - 211 = 105464043077 is a prime.

It is a super-2 number, since 2×1054640451252 (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 15 ways as a sum of consecutive naturals, for example, 1488322 + ... + 1557571.

It is an arithmetic number, because the mean of its divisors is an integer number (8255895687).

Almost surely, 2105464045125 is an apocalyptic number.

It is an amenable number.

105464045125 is a deficient number, since it is larger than the sum of its proper divisors (26630285867).

105464045125 is an equidigital number, since it uses as much as digits as its factorization.

105464045125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046185 (or 3046175 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 105464045125 in words is "one hundred five billion, four hundred sixty-four million, forty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 277 1385 6925 34625 3045893 15229465 76147325 380736625 843712361 4218561805 21092809025 105464045125