100563405456 has 40 divisors (see below), whose sum is σ = 262707783840. Its totient is φ = 33144491776.

The previous prime is 100563405427. The next prime is 100563405457. The reversal of 100563405456 is 654504365001.

It is a super-2 number, since 2×100563405456² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100563405457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11765790 + ... + 11774333.

It is an arithmetic number, because the mean of its divisors is an integer number (6567694596).

Almost surely, 2^100563405456 is an apocalyptic number.

100563405456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100563405456 is an abundant number, since it is smaller than the sum of its proper divisors (162144378384).

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

100563405456 is a wasteful number, since it uses less digits than its factorization.

100563405456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23540223 (or 23540217 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 100563405456 in words is "one hundred billion, five hundred sixty-three million, four hundred five thousand, four hundred fifty-six".