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106032361 is a prime number
BaseRepresentation
bin1100101000111…
…10110011101001
321101112000001111
412110132303221
5204121013421
614304350321
72425155151
oct624366351
9241460044
10106032361
1154941756
122b6153a1
1318c76456
1410121761
159496ee1
hex651ece9

106032361 has 2 divisors, whose sum is σ = 106032362. Its totient is φ = 106032360.

The previous prime is 106032359. The next prime is 106032373. The reversal of 106032361 is 163230601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83174400 + 22857961 = 9120^2 + 4781^2 .

It is a cyclic number.

It is not a de Polignac number, because 106032361 - 21 = 106032359 is a prime.

It is a super-2 number, since 2×1060323612 = 22485723158468642, which contains 22 as substring.

Together with 106032359, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106035361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53016180 + 53016181.

It is an arithmetic number, because the mean of its divisors is an integer number (53016181).

Almost surely, 2106032361 is an apocalyptic number.

It is an amenable number.

106032361 is a deficient number, since it is larger than the sum of its proper divisors (1).

106032361 is an equidigital number, since it uses as much as digits as its factorization.

106032361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 106032361 is about 10297.2016101463. The cubic root of 106032361 is about 473.3105053572.

Adding to 106032361 its reverse (163230601), we get a palindrome (269262962).

The spelling of 106032361 in words is "one hundred six million, thirty-two thousand, three hundred sixty-one".