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106050005993 is a prime number
BaseRepresentation
bin110001011000100010…
…0101010101111101001
3101010201210210111020202
41202301010222233221
53214142300142433
6120415123401545
710443006114641
oct1426104525751
9333653714222
10106050005993
1140a80511158
1218677b232b5
13a001066549
1451c0769521
152b5a44dee8
hex18b112abe9

106050005993 has 2 divisors, whose sum is σ = 106050005994. Its totient is φ = 106050005992.

The previous prime is 106050005969. The next prime is 106050006001. The reversal of 106050005993 is 399500050601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79561792489 + 26488213504 = 282067^2 + 162752^2 .

It is a cyclic number.

It is not a de Polignac number, because 106050005993 - 210 = 106050004969 is a prime.

It is a super-3 number, since 3×1060500059933 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (106050005293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53025002996 + 53025002997.

It is an arithmetic number, because the mean of its divisors is an integer number (53025002997).

Almost surely, 2106050005993 is an apocalyptic number.

It is an amenable number.

106050005993 is a deficient number, since it is larger than the sum of its proper divisors (1).

106050005993 is an equidigital number, since it uses as much as digits as its factorization.

106050005993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36450, while the sum is 38.

The spelling of 106050005993 in words is "one hundred six billion, fifty million, five thousand, nine hundred ninety-three".