105201024 has 64 divisors (see below), whose sum is σ = 294168000. Its totient is φ = 33219072.

The previous prime is 105201017. The next prime is 105201029. The reversal of 105201024 is 420102501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105201024² = 22134510901297152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105200994 and 105201012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105201029) 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 7 ways as a sum of consecutive naturals, for example, 87 + ... + 14505.

It is an arithmetic number, because the mean of its divisors is an integer number (4596375).

Almost surely, 2^105201024 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 105201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147084000).

105201024 is an abundant number, since it is smaller than the sum of its proper divisors (188966976).

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

105201024 is a wasteful number, since it uses less digits than its factorization.

105201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14455 (or 14443 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 105201024 is about 10256.7550424099. The cubic root of 105201024 is about 472.0702758523.

Adding to 105201024 its reverse (420102501), we get a palindrome (525303525).

The spelling of 105201024 in words is "one hundred five million, two hundred one thousand, twenty-four".