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106265070601 is a prime number
BaseRepresentation
bin110001011110111100…
…1000100110000001001
3101011021210110220102121
41202331321010300021
53220112324224401
6120452325131241
710451230124314
oct1427571046011
9334253426377
10106265070601
11410809533a8
1218717b59b21
13a036796701
14520114d97b
152b6e281ca1
hex18bde44c09

106265070601 has 2 divisors, whose sum is σ = 106265070602. Its totient is φ = 106265070600.

The previous prime is 106265070563. The next prime is 106265070617. The reversal of 106265070601 is 106070562601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94849216576 + 11415854025 = 307976^2 + 106845^2 .

It is a cyclic number.

It is not a de Polignac number, because 106265070601 - 29 = 106265070089 is a prime.

It is a super-2 number, since 2×1062650706012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106265070671) 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, 53132535300 + 53132535301.

It is an arithmetic number, because the mean of its divisors is an integer number (53132535301).

Almost surely, 2106265070601 is an apocalyptic number.

It is an amenable number.

106265070601 is a deficient number, since it is larger than the sum of its proper divisors (1).

106265070601 is an equidigital number, since it uses as much as digits as its factorization.

106265070601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 106265070601 in words is "one hundred six billion, two hundred sixty-five million, seventy thousand, six hundred one".