105021605 has 8 divisors (see below), whose sum is σ = 135720312. Its totient is φ = 77554368.

The previous prime is 105021601. The next prime is 105021613. The reversal of 105021605 is 506120501.

It can be written as a sum of positive squares in 4 ways, for example, as 4661281 + 100360324 = 2159^2 + 10018^2 .

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 105021605 - 2² = 105021601 is a prime.

It is a super-2 number, since 2×105021605² = 22059075033552050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105021601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 807794 + ... + 807923.

It is an arithmetic number, because the mean of its divisors is an integer number (16965039).

Almost surely, 2^105021605 is an apocalyptic number.

It is an amenable number.

105021605 is a deficient number, since it is larger than the sum of its proper divisors (30698707).

105021605 is a wasteful number, since it uses less digits than its factorization.

105021605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615735.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105021605 is about 10248.0049277896. The cubic root of 105021605 is about 471.8017532026.

The spelling of 105021605 in words is "one hundred five million, twenty-one thousand, six hundred five".