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1000106555093 is a prime number
BaseRepresentation
bin11101000110110101111…
…11101111011011010101
310112121110010220222120222
432203122333233123111
5112341204234230333
62043235334204125
7132153400312202
oct16433277573325
93477403828528
101000106555093
11356163094358
121419b17b3645
1373404395ba9
1436596662ca9
151b035cb3298
hexe8dafef6d5

1000106555093 has 2 divisors, whose sum is σ = 1000106555094. Its totient is φ = 1000106555092.

The previous prime is 1000106555009. The next prime is 1000106555101. The reversal of 1000106555093 is 3905556010001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 732860981329 + 267245573764 = 856073^2 + 516958^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000106555093 - 214 = 1000106538709 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000106555003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500053277546 + 500053277547.

It is an arithmetic number, because the mean of its divisors is an integer number (500053277547).

Almost surely, 21000106555093 is an apocalyptic number.

It is an amenable number.

1000106555093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000106555093 is an equidigital number, since it uses as much as digits as its factorization.

1000106555093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20250, while the sum is 35.

The spelling of 1000106555093 in words is "one trillion, one hundred six million, five hundred fifty-five thousand, ninety-three".