10005020 has 48 divisors (see below), whose sum is σ = 22407840. Its totient is φ = 3741696.

The previous prime is 10005019. The next prime is 10005041. The reversal of 10005020 is 2050001.

10005020 = 80² + 81² + ... + 312².

It is a junction number, because it is equal to n+sod(n) for n = 10004989 and 10005007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42824 + ... + 43056.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 2^10005020 is an apocalyptic number.

10005020 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 10005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203920).

10005020 is an abundant number, since it is smaller than the sum of its proper divisors (12402820).

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

10005020 is a wasteful number, since it uses less digits than its factorization.

10005020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 10005020 is about 3163.0712922727. The cubic root of 10005020 is about 215.4795138462.

Adding to 10005020 its reverse (2050001), we get a palindrome (12055021).

It can be divided in two parts, 100050 and 20, that multiplied together give a triangular number (2001000 = T₂₀₀₀).

The spelling of 10005020 in words is "ten million, five thousand, twenty".