105033679921 has 3 divisors (see below), whose sum is σ = 105034004011. Its totient is φ = 105033355832.

The previous prime is 105033679901. The next prime is 105033679931. The reversal of 105033679921 is 129976330501.

The square root of 105033679921 is 324089.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 59579439921 + 45454240000 = 244089^2 + 213200^2 .

It is not a de Polignac number, because 105033679921 - 2⁹ = 105033679409 is a prime.

It is a super-2 number, since 2×105033679921² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105033679901) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 162045 + ... + 486133.

Almost surely, 2^105033679921 is an apocalyptic number.

105033679921 is the 324089-th square number.

105033679921 is the 162045-th centered octagonal number.

It is an amenable number.

105033679921 is a deficient number, since it is larger than the sum of its proper divisors (324090).

105033679921 is an frugal number, since it uses more digits than its factorization.

105033679921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648178 (or 324089 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 46.

The spelling of 105033679921 in words is "one hundred five billion, thirty-three million, six hundred seventy-nine thousand, nine hundred twenty-one".