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105535109573 is a prime number
BaseRepresentation
bin110001001001001100…
…0011111100111000101
3101002101220221001010222
41202102120133213011
53212113442001243
6120252051354125
710424154426125
oct1422230374705
9332356831128
10105535109573
11408368aa923
12185535b2945
139c4b496cca
145172216c85
152b2a142168
hex189261f9c5

105535109573 has 2 divisors, whose sum is σ = 105535109574. Its totient is φ = 105535109572.

The previous prime is 105535109567. The next prime is 105535109593. The reversal of 105535109573 is 375901535501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102565186564 + 2969923009 = 320258^2 + 54497^2 .

It is a cyclic number.

It is not a de Polignac number, because 105535109573 - 214 = 105535093189 is a prime.

It is a super-2 number, since 2×1055351095732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105535109593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52767554786 + 52767554787.

It is an arithmetic number, because the mean of its divisors is an integer number (52767554787).

Almost surely, 2105535109573 is an apocalyptic number.

It is an amenable number.

105535109573 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535109573 is an equidigital number, since it uses as much as digits as its factorization.

105535109573 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 354375, while the sum is 44.

The spelling of 105535109573 in words is "one hundred five billion, five hundred thirty-five million, one hundred nine thousand, five hundred seventy-three".