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106546011001 is a prime number
BaseRepresentation
bin110001100111010100…
…0110001101101111001
3101012000101010011012121
41203032220301231321
53221201234323001
6120540242441241
710461211102453
oct1431650615571
9335011104177
10106546011001
114120549a051
1218796063221
13a07ca50131
14522a5a12d3
152b88c786a1
hex18cea31b79

106546011001 has 2 divisors, whose sum is σ = 106546011002. Its totient is φ = 106546011000.

The previous prime is 106546010971. The next prime is 106546011023. The reversal of 106546011001 is 100110645601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82116633600 + 24429377401 = 286560^2 + 156299^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106546011001 is a prime.

It is a super-2 number, since 2×1065460110012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106546011301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53273005500 + 53273005501.

It is an arithmetic number, because the mean of its divisors is an integer number (53273005501).

Almost surely, 2106546011001 is an apocalyptic number.

It is an amenable number.

106546011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

106546011001 is an equidigital number, since it uses as much as digits as its factorization.

106546011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 106546011001 its reverse (100110645601), we get a palindrome (206656656602).

The spelling of 106546011001 in words is "one hundred six billion, five hundred forty-six million, eleven thousand, one".