105438249 has 36 divisors (see below), whose sum is σ = 180969984. Its totient is φ = 58956912.

The previous prime is 105438247. The next prime is 105438259. The reversal of 105438249 is 942834501.

It is not a de Polignac number, because 105438249 - 2¹ = 105438247 is a prime.

It is a super-2 number, since 2×105438249² = 22234448704372002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105438247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18184 + ... + 23270.

It is an arithmetic number, because the mean of its divisors is an integer number (5026944).

Almost surely, 2^105438249 is an apocalyptic number.

It is an amenable number.

105438249 is a deficient number, since it is larger than the sum of its proper divisors (75531735).

105438249 is a wasteful number, since it uses less digits than its factorization.

105438249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 105438249 is about 10268.3128604460. The cubic root of 105438249 is about 472.4248440134.

The spelling of 105438249 in words is "one hundred five million, four hundred thirty-eight thousand, two hundred forty-nine".