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106225625993 is a prime number
BaseRepresentation
bin110001011101110001…
…0100110101110001001
3101011012001020220121012
41202323202212232021
53220022230012433
6120444355453305
710450240631414
oct1427342465611
9334161226535
10106225625993
1141060662053
12187068b7235
13a02b5658c6
1451d9c02b7b
152b6aa8e848
hex18bb8a6b89

106225625993 has 2 divisors, whose sum is σ = 106225625994. Its totient is φ = 106225625992.

The previous prime is 106225625939. The next prime is 106225626047. The reversal of 106225625993 is 399526522601.

Together with previous prime (106225625939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (106225625939) and next prime (106225626047).

It can be written as a sum of positive squares in only one way, i.e., 70515209209 + 35710416784 = 265547^2 + 188972^2 .

It is a cyclic number.

It is not a de Polignac number, because 106225625993 - 212 = 106225621897 is a prime.

It is a super-2 number, since 2×1062256259932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106225625903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53112812996 + 53112812997.

It is an arithmetic number, because the mean of its divisors is an integer number (53112812997).

Almost surely, 2106225625993 is an apocalyptic number.

It is an amenable number.

106225625993 is a deficient number, since it is larger than the sum of its proper divisors (1).

106225625993 is an equidigital number, since it uses as much as digits as its factorization.

106225625993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1749600, while the sum is 50.

The spelling of 106225625993 in words is "one hundred six billion, two hundred twenty-five million, six hundred twenty-five thousand, nine hundred ninety-three".