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105977053723 is a prime number
BaseRepresentation
bin110001010110010111…
…0011000001000011011
3101010112201112010112211
41202230232120020123
53214020111204343
6120404000015551
710441132044052
oct1425456301033
9333481463484
10105977053723
1140a43314022
12186576015b7
139cbbc03018
1451b4bb9399
152b53d3d79d
hex18acb9821b

105977053723 has 2 divisors, whose sum is σ = 105977053724. Its totient is φ = 105977053722.

The previous prime is 105977053687. The next prime is 105977053739. The reversal of 105977053723 is 327350779501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105977053723 is a prime.

It is a super-2 number, since 2×1059770537232 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105977053753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52988526861 + 52988526862.

It is an arithmetic number, because the mean of its divisors is an integer number (52988526862).

Almost surely, 2105977053723 is an apocalyptic number.

105977053723 is a deficient number, since it is larger than the sum of its proper divisors (1).

105977053723 is an equidigital number, since it uses as much as digits as its factorization.

105977053723 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1389150, while the sum is 49.

The spelling of 105977053723 in words is "one hundred five billion, nine hundred seventy-seven million, fifty-three thousand, seven hundred twenty-three".