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105250032397 is a prime number
BaseRepresentation
bin110001000000101100…
…1000000101100001101
3101001200001111121210001
41202001121000230031
53211023002014042
6120203505244301
710414123341256
oct1420131005415
9331601447701
10105250032397
11406aa999154
1218494033691
139c043c26a3
145146409b2d
152b100cebb7
hex1881640b0d

105250032397 has 2 divisors, whose sum is σ = 105250032398. Its totient is φ = 105250032396.

The previous prime is 105250032383. The next prime is 105250032431. The reversal of 105250032397 is 793230052501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99561705156 + 5688327241 = 315534^2 + 75421^2 .

It is an emirp because it is prime and its reverse (793230052501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105250032397 - 27 = 105250032269 is a prime.

It is a super-2 number, since 2×1052500323972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105250032317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52625016198 + 52625016199.

It is an arithmetic number, because the mean of its divisors is an integer number (52625016199).

Almost surely, 2105250032397 is an apocalyptic number.

It is an amenable number.

105250032397 is a deficient number, since it is larger than the sum of its proper divisors (1).

105250032397 is an equidigital number, since it uses as much as digits as its factorization.

105250032397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700, while the sum is 37.

Adding to 105250032397 its reverse (793230052501), we get a palindrome (898480084898).

The spelling of 105250032397 in words is "one hundred five billion, two hundred fifty million, thirty-two thousand, three hundred ninety-seven".