10105024 has 28 divisors (see below), whose sum is σ = 20546568. Its totient is φ = 4928000.

The previous prime is 10105019. The next prime is 10105037. The reversal of 10105024 is 42050101.

It is a super-2 number, since 2×10105024² = 204223020081152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10104995 and 10105013.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 699 + ... + 4549.

It is an arithmetic number, because the mean of its divisors is an integer number (733806).

Almost surely, 2^10105024 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 10105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10273284).

10105024 is an abundant number, since it is smaller than the sum of its proper divisors (10441544).

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

10105024 is an equidigital number, since it uses as much as digits as its factorization.

10105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3894 counting only the distinct ones).

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

The square root of 10105024 is about 3178.8400400146. The cubic root of 10105024 is about 216.1950684091.

Adding to 10105024 its reverse (42050101), we get a palindrome (52155125).

The spelling of 10105024 in words is "ten million, one hundred five thousand, twenty-four".