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105403032401 is a prime number
BaseRepresentation
bin110001000101010000…
…0101010001101010001
3101002001201101211022212
41202022200222031101
53211331134014101
6120231012441505
710420661664362
oct1421240521521
9332051354285
10105403032401
114077929a337
1218517319295
139c2a001c34
14515c875b69
152b1d7531bb
hex188a82a351

105403032401 has 2 divisors, whose sum is σ = 105403032402. Its totient is φ = 105403032400.

The previous prime is 105403032391. The next prime is 105403032403. The reversal of 105403032401 is 104230304501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82541290000 + 22861742401 = 287300^2 + 151201^2 .

It is a cyclic number.

It is not a de Polignac number, because 105403032401 - 26 = 105403032337 is a prime.

It is a super-2 number, since 2×1054030324012 (a number of 23 digits) contains 22 as substring.

Together with 105403032403, 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 (105403032403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52701516200 + 52701516201.

It is an arithmetic number, because the mean of its divisors is an integer number (52701516201).

Almost surely, 2105403032401 is an apocalyptic number.

It is an amenable number.

105403032401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105403032401 is an equidigital number, since it uses as much as digits as its factorization.

105403032401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 105403032401 its reverse (104230304501), we get a palindrome (209633336902).

The spelling of 105403032401 in words is "one hundred five billion, four hundred three million, thirty-two thousand, four hundred one".