105162021 has 12 divisors (see below), whose sum is σ = 152013420. Its totient is φ = 70056000.

The previous prime is 105162019. The next prime is 105162023. The reversal of 105162021 is 120261501.

It is an interprime number because it is at equal distance from previous prime (105162019) and next prime (105162023).

It can be written as a sum of positive squares in 2 ways, for example, as 50253921 + 54908100 = 7089^2 + 7410^2 .

It is not a de Polignac number, because 105162021 - 2¹ = 105162019 is a prime.

It is a super-2 number, since 2×105162021² = 22118101321608882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105161985 and 105162003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105162023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11521 + ... + 18521.

It is an arithmetic number, because the mean of its divisors is an integer number (12667785).

Almost surely, 2^105162021 is an apocalyptic number.

It is an amenable number.

105162021 is a deficient number, since it is larger than the sum of its proper divisors (46851399).

105162021 is a wasteful number, since it uses less digits than its factorization.

105162021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 8673 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105162021 is about 10254.8535338151. The cubic root of 105162021 is about 472.0119290411.

The spelling of 105162021 in words is "one hundred five million, one hundred sixty-two thousand, twenty-one".