10432401100 has 72 divisors (see below), whose sum is σ = 24941122416. Its totient is φ = 3756000000.

The previous prime is 10432401047. The next prime is 10432401103. The reversal of 10432401100 is 110423401.

It is a super-2 number, since 2×10432401100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10432401103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64150 + ... + 158050.

It is an arithmetic number, because the mean of its divisors is an integer number (346404478).

Almost surely, 2^10432401100 is an apocalyptic number.

10432401100 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 10432401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470561208).

10432401100 is an abundant number, since it is smaller than the sum of its proper divisors (14508721316).

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

10432401100 is a wasteful number, since it uses less digits than its factorization.

10432401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94027 (or 94020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10432401100 its reverse (110423401), we get a palindrome (10542824501).

The spelling of 10432401100 in words is "ten billion, four hundred thirty-two million, four hundred one thousand, one hundred".