10405032100 has 72 divisors (see below), whose sum is σ = 23587865280. Its totient is φ = 3976452480.

The previous prime is 10405032091. The next prime is 10405032101. The reversal of 10405032100 is 123050401.

It is not an unprimeable number, because it can be changed into a prime (10405032101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2511831 + ... + 2515969.

It is an arithmetic number, because the mean of its divisors is an integer number (327609240).

Almost surely, 2^10405032100 is an apocalyptic number.

10405032100 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 10405032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793932640).

10405032100 is an abundant number, since it is smaller than the sum of its proper divisors (13182833180).

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

10405032100 is a wasteful number, since it uses less digits than its factorization.

10405032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 10405032100 its reverse (123050401), we get a palindrome (10528082501).

The spelling of 10405032100 in words is "ten billion, four hundred five million, thirty-two thousand, one hundred".