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106055561057 is a prime number
BaseRepresentation
bin110001011000101100…
…1110110111101100001
3101010202012020201100212
41202301121312331201
53214200210423212
6120415442423505
710443104252315
oct1426131667541
9333665221325
10106055561057
1140a83665816
1218679961b95
13a00225cb74
1451c13b3b45
152b5ab99e22
hex18b1676f61

106055561057 has 2 divisors, whose sum is σ = 106055561058. Its totient is φ = 106055561056.

The previous prime is 106055561009. The next prime is 106055561083. The reversal of 106055561057 is 750165550601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73454008576 + 32601552481 = 271024^2 + 180559^2 .

It is a cyclic number.

It is not a de Polignac number, because 106055561057 - 218 = 106055298913 is a prime.

It is a super-2 number, since 2×1060555610572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106055561957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53027780528 + 53027780529.

It is an arithmetic number, because the mean of its divisors is an integer number (53027780529).

Almost surely, 2106055561057 is an apocalyptic number.

It is an amenable number.

106055561057 is a deficient number, since it is larger than the sum of its proper divisors (1).

106055561057 is an equidigital number, since it uses as much as digits as its factorization.

106055561057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 157500, while the sum is 41.

The spelling of 106055561057 in words is "one hundred six billion, fifty-five million, five hundred sixty-one thousand, fifty-seven".