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105044636857 is a prime number
BaseRepresentation
bin110000111010100100…
…1011111010010111001
3101001010202000110001211
41201311021133102321
53210112411334412
6120131251043121
710406050452406
oct1416511372271
9331122013054
10105044636857
1140604a60476
12184372a04a1
139ba0999574
1451270212ad
152aec05bca7
hex187525f4b9

105044636857 has 2 divisors, whose sum is σ = 105044636858. Its totient is φ = 105044636856.

The previous prime is 105044636839. The next prime is 105044636869. The reversal of 105044636857 is 758636440501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57283156921 + 47761479936 = 239339^2 + 218544^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105044636857 is a prime.

It is a super-2 number, since 2×1050446368572 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105044636857.

It is not a weakly prime, because it can be changed into another prime (105044636657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52522318428 + 52522318429.

It is an arithmetic number, because the mean of its divisors is an integer number (52522318429).

Almost surely, 2105044636857 is an apocalyptic number.

It is an amenable number.

105044636857 is a deficient number, since it is larger than the sum of its proper divisors (1).

105044636857 is an equidigital number, since it uses as much as digits as its factorization.

105044636857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 105044636857 in words is "one hundred five billion, forty-four million, six hundred thirty-six thousand, eight hundred fifty-seven".