105301034400 has 72 divisors (see below), whose sum is σ = 342754874784. Its totient is φ = 28080275200.

The previous prime is 105301034291. The next prime is 105301034417. The reversal of 105301034400 is 4430103501.

It is a super-2 number, since 2×105301034400² (a number of 23 digits) contains 22 as substring.

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, 21935316 + ... + 21940115.

It is an arithmetic number, because the mean of its divisors is an integer number (4760484372).

Almost surely, 2^105301034400 is an apocalyptic number.

105301034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105301034400 is an abundant number, since it is smaller than the sum of its proper divisors (237453840384).

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

105301034400 is a wasteful number, since it uses less digits than its factorization.

105301034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43875454 (or 43875441 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 105301034400 its reverse (4430103501), we get a palindrome (109731137901).

The spelling of 105301034400 in words is "one hundred five billion, three hundred one million, thirty-four thousand, four hundred".