21105135510400 has 96 divisors (see below), whose sum is σ = 52205708486880. Its totient is φ = 8430812160000.

The previous prime is 21105135510383. The next prime is 21105135510419. The reversal of 21105135510400 is 401553150112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1987849 + ... + 6794248.

It is an arithmetic number, because the mean of its divisors is an integer number (543809463405).

Almost surely, 2^{21105135510400} is an apocalyptic number.

21105135510400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21105135510400 is an abundant number, since it is smaller than the sum of its proper divisors (31100572976480).

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

21105135510400 is an equidigital number, since it uses as much as digits as its factorization.

21105135510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8782872 (or 8782855 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

Adding to 21105135510400 its reverse (401553150112), we get a palindrome (21506688660512).

The spelling of 21105135510400 in words is "twenty-one trillion, one hundred five billion, one hundred thirty-five million, five hundred ten thousand, four hundred".