10424410100 has 54 divisors (see below), whose sum is σ = 24494936130. Its totient is φ = 3849006720.

The previous prime is 10424410079. The next prime is 10424410111. The reversal of 10424410100 is 101442401.

It can be written as a sum of positive squares in 9 ways, for example, as 6670642276 + 3753767824 = 81674^2 + 61268^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291515 + ... + 325314.

Almost surely, 2^10424410100 is an apocalyptic number.

10424410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424410100 is an abundant number, since it is smaller than the sum of its proper divisors (14070526030).

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

10424410100 is a wasteful number, since it uses less digits than its factorization.

10424410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616869 (or 616849 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10424410100 its reverse (101442401), we get a palindrome (10525852501).

The spelling of 10424410100 in words is "ten billion, four hundred twenty-four million, four hundred ten thousand, one hundred".