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105524466121 is a prime number
BaseRepresentation
bin110001001000110111…
…1111001000111001001
3101002101011220022002001
41202101233321013021
53212103230403441
6120251031311001
710423665106504
oct1422157710711
9332334808061
10105524466121
11408308a0288
121854bb1b461
139c4920b5c9
145170a4613b
152b2923d731
hex1891bf91c9

105524466121 has 2 divisors, whose sum is σ = 105524466122. Its totient is φ = 105524466120.

The previous prime is 105524466071. The next prime is 105524466127. The reversal of 105524466121 is 121664425501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89078968521 + 16445497600 = 298461^2 + 128240^2 .

It is a cyclic number.

It is not a de Polignac number, because 105524466121 - 225 = 105490911689 is a prime.

It is a super-2 number, since 2×1055244661212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105524466127) 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, 52762233060 + 52762233061.

It is an arithmetic number, because the mean of its divisors is an integer number (52762233061).

Almost surely, 2105524466121 is an apocalyptic number.

It is an amenable number.

105524466121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105524466121 is an equidigital number, since it uses as much as digits as its factorization.

105524466121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 105524466121 in words is "one hundred five billion, five hundred twenty-four million, four hundred sixty-six thousand, one hundred twenty-one".