105242550 has 96 divisors (see below), whose sum is σ = 301266432. Its totient is φ = 23815680.

The previous prime is 105242497. The next prime is 105242569. The reversal of 105242550 is 55242501.

It is a happy number.

It is a super-2 number, since 2×105242550² = 22151988661005000, 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 105242550.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118207 + ... + 119093.

It is an arithmetic number, because the mean of its divisors is an integer number (3138192).

Almost surely, 2^105242550 is an apocalyptic number.

105242550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105242550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150633216).

105242550 is an abundant number, since it is smaller than the sum of its proper divisors (196023882).

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

105242550 is a wasteful number, since it uses less digits than its factorization.

105242550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 105242550 is about 10258.7791671329. The cubic root of 105242550 is about 472.1323811145.

The spelling of 105242550 in words is "one hundred five million, two hundred forty-two thousand, five hundred fifty".