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106105751041 is a prime number
BaseRepresentation
bin110001011010001100…
…1010100011000000001
3101010212200200122002011
41202310121110120001
53214301033013131
6120424434252521
710444254000643
oct1426431243001
9333780618064
10106105751041
1140aa9a26244
1218692727141
13a00c783894
1451c7d1a893
152b602b10b1
hex18b4654601

106105751041 has 2 divisors, whose sum is σ = 106105751042. Its totient is φ = 106105751040.

The previous prime is 106105751033. The next prime is 106105751117. The reversal of 106105751041 is 140157501601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64082391025 + 42023360016 = 253145^2 + 204996^2 .

It is a cyclic number.

It is not a de Polignac number, because 106105751041 - 23 = 106105751033 is a prime.

It is a super-2 number, since 2×1061057510412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106105750994 and 106105751012.

It is not a weakly prime, because it can be changed into another prime (106105721041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53052875520 + 53052875521.

It is an arithmetic number, because the mean of its divisors is an integer number (53052875521).

Almost surely, 2106105751041 is an apocalyptic number.

It is an amenable number.

106105751041 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105751041 is an equidigital number, since it uses as much as digits as its factorization.

106105751041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4200, while the sum is 31.

The spelling of 106105751041 in words is "one hundred six billion, one hundred five million, seven hundred fifty-one thousand, forty-one".