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105990527977 is a prime number
BaseRepresentation
bin110001010110110000…
…1110001101111101001
3101010120122212200202021
41202231201301233221
53214032033343402
6120405200504441
710441354423435
oct1425541615751
9333518780667
10105990527977
1140a4a987474
121866001b121
139cc1940059
1451b68c59c5
152b55100d37
hex18ad871be9

105990527977 has 2 divisors, whose sum is σ = 105990527978. Its totient is φ = 105990527976.

The previous prime is 105990527969. The next prime is 105990528047. The reversal of 105990527977 is 779725099501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72068623936 + 33921904041 = 268456^2 + 184179^2 .

It is a cyclic number.

It is not a de Polignac number, because 105990527977 - 23 = 105990527969 is a prime.

It is a super-2 number, since 2×1059905279772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105990527177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52995263988 + 52995263989.

It is an arithmetic number, because the mean of its divisors is an integer number (52995263989).

Almost surely, 2105990527977 is an apocalyptic number.

It is an amenable number.

105990527977 is a deficient number, since it is larger than the sum of its proper divisors (1).

105990527977 is an equidigital number, since it uses as much as digits as its factorization.

105990527977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12502350, while the sum is 61.

The spelling of 105990527977 in words is "one hundred five billion, nine hundred ninety million, five hundred twenty-seven thousand, nine hundred seventy-seven".