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102801 = 334267

102801 has 4 divisors (see below), whose sum is σ = 137072. Its totient is φ = 68532.

The previous prime is 102797. The next prime is 102811. The reversal of 102801 is 108201.

It can be divided in two parts, 102 and 801, that added together give a triangular number (903 = T42).

It is a happy number.

102801 is nontrivially palindromic in base 16.

102801 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 108201 = 336067.

It is not a de Polignac number, because 102801 - 22 = 102797 is a prime.

It is a D-number.

It is a Duffinian number.

102801 is an undulating number in base 16.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102801.

It is not an unprimeable number, because it can be changed into a prime (102811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17131 + ... + 17136.

It is an arithmetic number, because the mean of its divisors is an integer number (34268).

2102801 is an apocalyptic number.

It is an amenable number.

102801 is a deficient number, since it is larger than the sum of its proper divisors (34271).

102801 is an equidigital number, since it uses as much as digits as its factorization.

102801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34270.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102801 is about 320.6259502910. The cubic root of 102801 is about 46.8452735970.

The spelling of 102801 in words is "one hundred two thousand, eight hundred one".

Divisors: 1 3 34267 102801