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105486436001 is a prime number
BaseRepresentation
bin110001000111101111…
…0110100011010100001
3101002021112100011120002
41202033132310122201
53212014011423001
6120243152225345
710423023624512
oct1421736643241
9332245304502
10105486436001
1140811385731
121853b23b255
139c4138458b
145169986a09
152b25c2a46b
hex188f7b46a1

105486436001 has 2 divisors, whose sum is σ = 105486436002. Its totient is φ = 105486436000.

The previous prime is 105486435953. The next prime is 105486436037. The reversal of 105486436001 is 100634684501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100331196001 + 5155240000 = 316751^2 + 71800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105486436001 is a prime.

It is a super-2 number, since 2×1054864360012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105486436801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52743218000 + 52743218001.

It is an arithmetic number, because the mean of its divisors is an integer number (52743218001).

Almost surely, 2105486436001 is an apocalyptic number.

It is an amenable number.

105486436001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105486436001 is an equidigital number, since it uses as much as digits as its factorization.

105486436001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 105486436001 in words is "one hundred five billion, four hundred eighty-six million, four hundred thirty-six thousand, one".