100572216 has 48 divisors (see below), whose sum is σ = 258494040. Its totient is φ = 32607360.

The previous prime is 100572211. The next prime is 100572223. The reversal of 100572216 is 612275001.

It is a super-2 number, since 2×100572216² = 20229541262301312, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100572211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31326 + ... + 34386.

Almost surely, 2^100572216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100572216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129247020).

100572216 is an abundant number, since it is smaller than the sum of its proper divisors (157921824).

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

100572216 is a wasteful number, since it uses less digits than its factorization.

100572216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 100572216 is about 10028.5699877899. The cubic root of 100572216 is about 465.0425305069.

The spelling of 100572216 in words is "one hundred million, five hundred seventy-two thousand, two hundred sixteen".