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10106980861 is a prime number
BaseRepresentation
bin10010110100110110…
…00100100111111101
3222002101001211021111
421122123010213331
5131144341341421
64350523402021
7505313630335
oct113233044775
928071054244
1010106980861
11431714434a
121b60983311
13c50c06563
146bc4500c5
153e2490ee1
hex25a6c49fd

10106980861 has 2 divisors, whose sum is σ = 10106980862. Its totient is φ = 10106980860.

The previous prime is 10106980823. The next prime is 10106980901. The reversal of 10106980861 is 16808960101.

It is an a-pointer prime, because the next prime (10106980901) can be obtained adding 10106980861 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9974016900 + 132963961 = 99870^2 + 11531^2 .

It is an emirp because it is prime and its reverse (16808960101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 19808690101 and 10109680891.

It is a cyclic number.

It is not a de Polignac number, because 10106980861 - 29 = 10106980349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10106980801) 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, 5053490430 + 5053490431.

It is an arithmetic number, because the mean of its divisors is an integer number (5053490431).

Almost surely, 210106980861 is an apocalyptic number.

It is an amenable number.

10106980861 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106980861 is an equidigital number, since it uses as much as digits as its factorization.

10106980861 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 40.

The spelling of 10106980861 in words is "ten billion, one hundred six million, nine hundred eighty thousand, eight hundred sixty-one".