10424132100 has 108 divisors (see below), whose sum is σ = 33557047524. Its totient is φ = 2704631040.

The previous prime is 10424132077. The next prime is 10424132107. The reversal of 10424132100 is 123142401.

10424132100 is a `hidden beast` number, since 1 + 0 + 42 + 413 + 210 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 54375876 + 10369756224 = 7374^2 + 101832^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10424132107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123219 + ... + 189818.

It is an arithmetic number, because the mean of its divisors is an integer number (310713403).

Almost surely, 2^10424132100 is an apocalyptic number.

10424132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424132100 is an abundant number, since it is smaller than the sum of its proper divisors (23132915424).

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

10424132100 is a wasteful number, since it uses less digits than its factorization.

10424132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313094 (or 313084 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10424132100 its reverse (123142401), we get a palindrome (10547274501).

The spelling of 10424132100 in words is "ten billion, four hundred twenty-four million, one hundred thirty-two thousand, one hundred".