105212240 has 80 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 35650560.

The previous prime is 105212231. The next prime is 105212249. The reversal of 105212240 is 42212501.

It is an interprime number because it is at equal distance from previous prime (105212231) and next prime (105212249).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105212240² = 22139230891635200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105212249) 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 15 ways as a sum of consecutive naturals, for example, 48785 + ... + 50895.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2^105212240 is an apocalyptic number.

105212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

105212240 is an abundant number, since it is smaller than the sum of its proper divisors (177626800).

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

105212240 is a wasteful number, since it uses less digits than its factorization.

105212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 105212240 is about 10257.3017894571. The cubic root of 105212240 is about 472.0870518362.

Adding to 105212240 its reverse (42212501), we get a palindrome (147424741).

The spelling of 105212240 in words is "one hundred five million, two hundred twelve thousand, two hundred forty".