102100001105 has 8 divisors (see below), whose sum is σ = 122707631592. Its totient is φ = 81554914048.

The previous prime is 102100001077. The next prime is 102100001119. The reversal of 102100001105 is 501100001201.

It can be written as a sum of positive squares in 4 ways, for example, as 1554567184 + 100545433921 = 39428^2 + 317089^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102100001105 - 2¹⁰ = 102100000081 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 15632264 + ... + 15638793.

It is an arithmetic number, because the mean of its divisors is an integer number (15338453949).

Almost surely, 2^102100001105 is an apocalyptic number.

It is an amenable number.

102100001105 is a deficient number, since it is larger than the sum of its proper divisors (20607630487).

102100001105 is an equidigital number, since it uses as much as digits as its factorization.

102100001105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31271715.

The product of its (nonzero) digits is 10, while the sum is 11.

Adding to 102100001105 its reverse (501100001201), we get a palindrome (603200002306).

The spelling of 102100001105 in words is "one hundred two billion, one hundred million, one thousand, one hundred five".