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105000127 is a prime number
BaseRepresentation
bin1100100001000…
…10110010111111
321022120120002121
412100202302333
5203340001002
614230303411
72413325551
oct620426277
9238516077
10105000127
11542a7171
122b1b7b67
13189a466b
14dd334d1
159341237
hex6422cbf

105000127 has 2 divisors, whose sum is σ = 105000128. Its totient is φ = 105000126.

The previous prime is 105000121. The next prime is 105000163. The reversal of 105000127 is 721000501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105000127 is a prime.

It is a super-2 number, since 2×1050001272 = 22050053340032258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105000127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105000121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500063 + 52500064.

It is an arithmetic number, because the mean of its divisors is an integer number (52500064).

Almost surely, 2105000127 is an apocalyptic number.

105000127 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000127 is an equidigital number, since it uses as much as digits as its factorization.

105000127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 105000127 is about 10246.9569629232. The cubic root of 105000127 is about 471.7695882370.

Adding to 105000127 its reverse (721000501), we get a palindrome (826000628).

The spelling of 105000127 in words is "one hundred five million, one hundred twenty-seven", and thus it is an aban number.