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106025077441 is a prime number
BaseRepresentation
bin110001010111110010…
…1100100101011000001
3101010200001212222201001
41202233211210223001
53214114404434231
6120412433212001
710442254200643
oct1425745445301
9333601788631
10106025077441
1140a68434a48
121866b701001
139cc8b48a1a
1451bb31a893
152b58177b61
hex18af964ac1

106025077441 has 2 divisors, whose sum is σ = 106025077442. Its totient is φ = 106025077440.

The previous prime is 106025077343. The next prime is 106025077447. The reversal of 106025077441 is 144770520601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101460723841 + 4564353600 = 318529^2 + 67560^2 .

It is a cyclic number.

It is not a de Polignac number, because 106025077441 - 29 = 106025076929 is a prime.

It is a super-2 number, since 2×1060250774412 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106025077441.

It is not a weakly prime, because it can be changed into another prime (106025077447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53012538720 + 53012538721.

It is an arithmetic number, because the mean of its divisors is an integer number (53012538721).

Almost surely, 2106025077441 is an apocalyptic number.

It is an amenable number.

106025077441 is a deficient number, since it is larger than the sum of its proper divisors (1).

106025077441 is an equidigital number, since it uses as much as digits as its factorization.

106025077441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 106025077441 in words is "one hundred six billion, twenty-five million, seventy-seven thousand, four hundred forty-one".