10010624 has 60 divisors (see below), whose sum is σ = 22019424. Its totient is φ = 4521984.

The previous prime is 10010593. The next prime is 10010629. The reversal of 10010624 is 42601001.

It is a junction number, because it is equal to n+sod(n) for n = 10010599 and 10010608.

It is not an unprimeable number, because it can be changed into a prime (10010629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212969 + ... + 213015.

Almost surely, 2^10010624 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 10010624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11009712).

10010624 is an abundant number, since it is smaller than the sum of its proper divisors (12008800).

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

10010624 is an frugal number, since it uses more digits than its factorization.

10010624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10010624 is about 3163.9570161429. The cubic root of 10010624 is about 215.5197377141.

Adding to 10010624 its reverse (42601001), we get a palindrome (52611625).

The spelling of 10010624 in words is "ten million, ten thousand, six hundred twenty-four".