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105977053081 is a prime number
BaseRepresentation
bin110001010110010111…
…0010111111110011001
3101010112201112002200001
41202230232113332121
53214020111144311
6120404000013001
710441132042144
oct1425456277631
9333481462601
10105977053081
1140a43313599
1218657601161
139cbbc02943
1451b4bb905b
152b53d3d4c1
hex18acb97f99

105977053081 has 2 divisors, whose sum is σ = 105977053082. Its totient is φ = 105977053080.

The previous prime is 105977053033. The next prime is 105977053097. The reversal of 105977053081 is 180350779501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96047927056 + 9929126025 = 309916^2 + 99645^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105977053081 is a prime.

It is a super-2 number, since 2×1059770530812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105977053001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52988526540 + 52988526541.

It is an arithmetic number, because the mean of its divisors is an integer number (52988526541).

Almost surely, 2105977053081 is an apocalyptic number.

It is an amenable number.

105977053081 is a deficient number, since it is larger than the sum of its proper divisors (1).

105977053081 is an equidigital number, since it uses as much as digits as its factorization.

105977053081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 264600, while the sum is 46.

The spelling of 105977053081 in words is "one hundred five billion, nine hundred seventy-seven million, fifty-three thousand, eighty-one".