105403522400 has 144 divisors (see below), whose sum is σ = 297221445360. Its totient is φ = 36073881600.

The previous prime is 105403522397. The next prime is 105403522429. The reversal of 105403522400 is 4225304501.

It is a happy number.

It is a super-2 number, since 2×105403522400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105403522400.

It is a congruent number.

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, 202685 + ... + 501884.

It is an arithmetic number, because the mean of its divisors is an integer number (2064037815).

Almost surely, 2^105403522400 is an apocalyptic number.

105403522400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105403522400 is an abundant number, since it is smaller than the sum of its proper divisors (191817922960).

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

105403522400 is a wasteful number, since it uses less digits than its factorization.

105403522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704617 (or 704604 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 105403522400 its reverse (4225304501), we get a palindrome (109628826901).

The spelling of 105403522400 in words is "one hundred five billion, four hundred three million, five hundred twenty-two thousand, four hundred".