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10506087077 is a prime number
BaseRepresentation
bin10011100100011011…
…00010101010100101
31000010012001112002012
421302031202222211
5133004024241302
64454301524005
7521231160323
oct116215425245
930105045065
1010506087077
1145014597a2
122052573605
13cb57c4095
14719460d13
15417529a52
hex272362aa5

10506087077 has 2 divisors, whose sum is σ = 10506087078. Its totient is φ = 10506087076.

The previous prime is 10506087043. The next prime is 10506087089. The reversal of 10506087077 is 77078060501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6096330241 + 4409756836 = 78079^2 + 66406^2 .

It is a cyclic number.

It is not a de Polignac number, because 10506087077 - 26 = 10506087013 is a prime.

It is a super-2 number, since 2×105060870772 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10506087377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5253043538 + 5253043539.

It is an arithmetic number, because the mean of its divisors is an integer number (5253043539).

Almost surely, 210506087077 is an apocalyptic number.

It is an amenable number.

10506087077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10506087077 is an equidigital number, since it uses as much as digits as its factorization.

10506087077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 10506087077 in words is "ten billion, five hundred six million, eighty-seven thousand, seventy-seven".