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105111100469 is a prime number
BaseRepresentation
bin110000111100100011…
…1000001110000110101
3101001022101002011000002
41201321013001300311
53210231420203334
6120142023401045
710410515420024
oct1417107016065
9331271064002
10105111100469
1140639526581
12184555b3185
139bb169a54b
145131ba28bb
152b02cd9b7e
hex18791c1c35

105111100469 has 2 divisors, whose sum is σ = 105111100470. Its totient is φ = 105111100468.

The previous prime is 105111100433. The next prime is 105111100517. The reversal of 105111100469 is 964001111501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58762608100 + 46348492369 = 242410^2 + 215287^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105111100469 is a prime.

It is a super-2 number, since 2×1051111004692 (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 (105111103469) by changing a digit.

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 as a sum of consecutive naturals, namely, 52555550234 + 52555550235.

It is an arithmetic number, because the mean of its divisors is an integer number (52555550235).

Almost surely, 2105111100469 is an apocalyptic number.

It is an amenable number.

105111100469 is a deficient number, since it is larger than the sum of its proper divisors (1).

105111100469 is an equidigital number, since it uses as much as digits as its factorization.

105111100469 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 29.

The spelling of 105111100469 in words is "one hundred five billion, one hundred eleven million, one hundred thousand, four hundred sixty-nine".