105164021 has 4 divisors (see below), whose sum is σ = 105268044. Its totient is φ = 105060000.

The previous prime is 105164011. The next prime is 105164029. The reversal of 105164021 is 120461501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 28408900 + 76755121 = 5330^2 + 8761^2 .

It is a cyclic number.

It is not a de Polignac number, because 105164021 - 2¹⁸ = 104901877 is a prime.

It is a super-2 number, since 2×105164021² = 22118942625776882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105163984 and 105164002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105164029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50480 + ... + 52521.

It is an arithmetic number, because the mean of its divisors is an integer number (26317011).

Almost surely, 2^105164021 is an apocalyptic number.

It is an amenable number.

105164021 is a deficient number, since it is larger than the sum of its proper divisors (104023).

105164021 is a wasteful number, since it uses less digits than its factorization.

105164021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104022.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 105164021 is about 10254.9510481523. The cubic root of 105164021 is about 472.0149213060.

The spelling of 105164021 in words is "one hundred five million, one hundred sixty-four thousand, twenty-one".