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106420406501 is a prime number
BaseRepresentation
bin110001100011100100…
…1101000100011100101
3101011200121202210020002
41203013021220203211
53220422111002001
6120515554351045
710455124346543
oct1430711504345
9334617683202
10106420406501
11411505aa582
121875bb8b485
13a05ca13246
145217a26d93
152b7cc1746b
hex18c72688e5

106420406501 has 2 divisors, whose sum is σ = 106420406502. Its totient is φ = 106420406500.

The previous prime is 106420406497. The next prime is 106420406579. The reversal of 106420406501 is 105604024601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90826890625 + 15593515876 = 301375^2 + 124874^2 .

It is a cyclic number.

It is not a de Polignac number, because 106420406501 - 22 = 106420406497 is a prime.

It is a super-2 number, since 2×1064204065012 (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 (106420406581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53210203250 + 53210203251.

It is an arithmetic number, because the mean of its divisors is an integer number (53210203251).

Almost surely, 2106420406501 is an apocalyptic number.

It is an amenable number.

106420406501 is a deficient number, since it is larger than the sum of its proper divisors (1).

106420406501 is an equidigital number, since it uses as much as digits as its factorization.

106420406501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 106420406501 in words is "one hundred six billion, four hundred twenty million, four hundred six thousand, five hundred one".