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106214401529 is a prime number
BaseRepresentation
bin110001011101011011…
…1110010010111111001
3101011011021010122112022
41202322313302113321
53220011341322104
6120443315124225
710450043342135
oct1427267622771
9334137118468
10106214401529
1141055295a35
1218702ba3675
13a029135902
1451d85203c5
152b69ac3bbe
hex18badf25f9

106214401529 has 2 divisors, whose sum is σ = 106214401530. Its totient is φ = 106214401528.

The previous prime is 106214401477. The next prime is 106214401669. The reversal of 106214401529 is 925104412601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66436093504 + 39778308025 = 257752^2 + 199445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106214401529 is a prime.

It is a super-2 number, since 2×1062144015292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106214401429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53107200764 + 53107200765.

It is an arithmetic number, because the mean of its divisors is an integer number (53107200765).

Almost surely, 2106214401529 is an apocalyptic number.

It is an amenable number.

106214401529 is a deficient number, since it is larger than the sum of its proper divisors (1).

106214401529 is an equidigital number, since it uses as much as digits as its factorization.

106214401529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 106214401529 in words is "one hundred six billion, two hundred fourteen million, four hundred one thousand, five hundred twenty-nine".