101083105 has 8 divisors (see below), whose sum is σ = 128435112. Its totient is φ = 76109568.

The previous prime is 101083063. The next prime is 101083109. The reversal of 101083105 is 501380101.

It can be written as a sum of positive squares in 4 ways, for example, as 3013696 + 98069409 = 1736^2 + 9903^2 .

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 101083105 - 2⁷ = 101082977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101083109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594522 + ... + 594691.

It is an arithmetic number, because the mean of its divisors is an integer number (16054389).

Almost surely, 2^101083105 is an apocalyptic number.

It is an amenable number.

101083105 is a deficient number, since it is larger than the sum of its proper divisors (27352007).

101083105 is a wasteful number, since it uses less digits than its factorization.

101083105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189235.

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 101083105 is about 10054.0093992397. The cubic root of 101083105 is about 465.8286453922.

The spelling of 101083105 in words is "one hundred one million, eighty-three thousand, one hundred five".