100563840 has 384 divisors, whose sum is σ = 400982400. Its totient is φ = 23003136.

The previous prime is 100563839. The next prime is 100563847. The reversal of 100563840 is 48365001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×100563840² = 20226171831091200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100563847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272921 + ... + 1272999.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^100563840 is an apocalyptic number.

100563840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

100563840 is an abundant number, since it is smaller than the sum of its proper divisors (300418560).

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

100563840 is a wasteful number, since it uses less digits than its factorization.

100563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100563840 is about 10028.1523721970. The cubic root of 100563840 is about 465.0296200348.

The spelling of 100563840 in words is "one hundred million, five hundred sixty-three thousand, eight hundred forty".