100563072 has 64 divisors (see below), whose sum is σ = 268423200. Its totient is φ = 33357824.

The previous prime is 100563059. The next prime is 100563083. The reversal of 100563072 is 270365001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×100563072² = 20225862900154368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98179 + ... + 99197.

Almost surely, 2^100563072 is an apocalyptic number.

100563072 is a gapful number since it is divisible by the number (12) 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 100563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134211600).

100563072 is an abundant number, since it is smaller than the sum of its proper divisors (167860128).

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

100563072 is a wasteful number, since it uses less digits than its factorization.

100563072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 100563072 is about 10028.1140799255. The cubic root of 100563072 is about 465.0284362307.

The spelling of 100563072 in words is "one hundred million, five hundred sixty-three thousand, seventy-two".