10424120010 has 64 divisors (see below), whose sum is σ = 26599757184. Its totient is φ = 2605363200.

The previous prime is 10424119987. The next prime is 10424120011. The reversal of 10424120010 is 1002142401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10424120011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80505 + ... + 165315.

It is an arithmetic number, because the mean of its divisors is an integer number (415621206).

Almost surely, 2^10424120010 is an apocalyptic number.

10424120010 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 10424120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13299878592).

10424120010 is an abundant number, since it is smaller than the sum of its proper divisors (16175637174).

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

10424120010 is a wasteful number, since it uses less digits than its factorization.

10424120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85079.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10424120010 its reverse (1002142401), we get a palindrome (11426262411).

It can be divided in two parts, 104241 and 20010, that added together give a triangular number (124251 = T₄₉₈).

The spelling of 10424120010 in words is "ten billion, four hundred twenty-four million, one hundred twenty thousand, ten".