105426211 has 24 divisors (see below), whose sum is σ = 120657600. Its totient is φ = 91977600.

The previous prime is 105426203. The next prime is 105426241. The reversal of 105426211 is 112624501.

It is not a de Polignac number, because 105426211 - 2³ = 105426203 is a prime.

It is a super-2 number, since 2×105426211² = 22229371931633042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105426241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391785 + ... + 392053.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^105426211 is an apocalyptic number.

105426211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105426211 is a deficient number, since it is larger than the sum of its proper divisors (15231389).

105426211 is a wasteful number, since it uses less digits than its factorization.

105426211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 105426211 is about 10267.7266714692. The cubic root of 105426211 is about 472.4068642424.

The spelling of 105426211 in words is "one hundred five million, four hundred twenty-six thousand, two hundred eleven".