105100240 has 80 divisors (see below), whose sum is σ = 284088960. Its totient is φ = 35412480.

The previous prime is 105100231. The next prime is 105100241. The reversal of 105100240 is 42001501.

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

It is a super-2 number, since 2×105100240² = 22092120896115200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105100240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31450 + ... + 34630.

It is an arithmetic number, because the mean of its divisors is an integer number (3551112).

Almost surely, 2^105100240 is an apocalyptic number.

105100240 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 105100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142044480).

105100240 is an abundant number, since it is smaller than the sum of its proper divisors (178988720).

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

105100240 is a wasteful number, since it uses less digits than its factorization.

105100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105100240 is about 10251.8408103130. The cubic root of 105100240 is about 471.9194777893.

Adding to 105100240 its reverse (42001501), we get a palindrome (147101741).

The spelling of 105100240 in words is "one hundred five million, one hundred thousand, two hundred forty".