10052110400 has 42 divisors (see below), whose sum is σ = 24734478090. Its totient is φ = 4020843520.

The previous prime is 10052110381. The next prime is 10052110441. The reversal of 10052110400 is 401125001.

It can be written as a sum of positive squares in 3 ways, for example, as 162205696 + 9889904704 = 12736^2 + 99448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3139685 + ... + 3142884.

It is an arithmetic number, because the mean of its divisors is an integer number (588916145).

Almost surely, 2^10052110400 is an apocalyptic number.

10052110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10052110400 is an abundant number, since it is smaller than the sum of its proper divisors (14682367690).

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

10052110400 is an equidigital number, since it uses as much as digits as its factorization.

10052110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6282591 (or 6282576 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 10052110400 its reverse (401125001), we get a palindrome (10453235401).

The spelling of 10052110400 in words is "ten billion, fifty-two million, one hundred ten thousand, four hundred".