105958248 has 128 divisors (see below), whose sum is σ = 303575040. Its totient is φ = 30782400.

The previous prime is 105958247. The next prime is 105958249. The reversal of 105958248 is 842859501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105958247) and next prime (105958249).

It is a super-2 number, since 2×105958248² = 22454300638459008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105958243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990211 + ... + 990317.

It is an arithmetic number, because the mean of its divisors is an integer number (2371680).

Almost surely, 2^105958248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105958248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151787520).

105958248 is an abundant number, since it is smaller than the sum of its proper divisors (197616792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105958248 is a wasteful number, since it uses less digits than its factorization.

105958248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 105958248 is about 10293.6022849146. The cubic root of 105958248 is about 473.2002036933.

The spelling of 105958248 in words is "one hundred five million, nine hundred fifty-eight thousand, two hundred forty-eight".