105250421 has 12 divisors (see below), whose sum is σ = 108736740. Its totient is φ = 101861760.

The previous prime is 105250351. The next prime is 105250423. The reversal of 105250421 is 124052501.

It can be written as a sum of positive squares in 6 ways, for example, as 8916196 + 96334225 = 2986^2 + 9815^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105250421 is a prime.

It is a super-2 number, since 2×105250421² = 22155302241354482, 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 = 105250393 and 105250402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105250423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249791 + ... + 250211.

It is an arithmetic number, because the mean of its divisors is an integer number (9061395).

Almost surely, 2^105250421 is an apocalyptic number.

It is an amenable number.

105250421 is a deficient number, since it is larger than the sum of its proper divisors (3486319).

105250421 is an frugal number, since it uses more digits than its factorization.

105250421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105250421 is about 10259.1627826056. The cubic root of 105250421 is about 472.1441509463.

The spelling of 105250421 in words is "one hundred five million, two hundred fifty thousand, four hundred twenty-one".