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106822501 is a prime number
BaseRepresentation
bin1100101110111…
…11101101100101
321110000010220221
412113133231211
5204321310001
614333324341
72434655602
oct627375545
9243003827
10106822501
1155331365
122b9366b1
1319191ca6
14102896a9
1595a11a1
hex65dfb65

106822501 has 2 divisors, whose sum is σ = 106822502. Its totient is φ = 106822500.

The previous prime is 106822477. The next prime is 106822519. The reversal of 106822501 is 105228601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65529025 + 41293476 = 8095^2 + 6426^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106822501 is a prime.

It is a super-2 number, since 2×1068225012 = 22822093439790002, which contains 22 as substring.

It is equal to p6131239 and since 106822501 and 6131239 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106822531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53411250 + 53411251.

It is an arithmetic number, because the mean of its divisors is an integer number (53411251).

Almost surely, 2106822501 is an apocalyptic number.

It is an amenable number.

106822501 is a deficient number, since it is larger than the sum of its proper divisors (1).

106822501 is an equidigital number, since it uses as much as digits as its factorization.

106822501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 106822501 is about 10335.4971336651. The cubic root of 106822501 is about 474.4832807604.

The spelling of 106822501 in words is "one hundred six million, eight hundred twenty-two thousand, five hundred one".