10405503105100 has 72 divisors (see below), whose sum is σ = 23389668590400. Its totient is φ = 4013325120000.

The previous prime is 10405503105047. The next prime is 10405503105139. The reversal of 10405503105100 is 150130550401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210985 + ... + 4566784.

It is an arithmetic number, because the mean of its divisors is an integer number (324856508200).

Almost surely, 2^{10405503105100} is an apocalyptic number.

10405503105100 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 10405503105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694834295200).

10405503105100 is an abundant number, since it is smaller than the sum of its proper divisors (12984165485300).

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

10405503105100 is a wasteful number, since it uses less digits than its factorization.

10405503105100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778563 (or 4778556 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 10405503105100 its reverse (150130550401), we get a palindrome (10555633655501).

The spelling of 10405503105100 in words is "ten trillion, four hundred five billion, five hundred three million, one hundred five thousand, one hundred".