100041216 has 160 divisors (see below), whose sum is σ = 301694976. Its totient is φ = 29184000.

The previous prime is 100041187. The next prime is 100041299. The reversal of 100041216 is 612140001.

100041216 is nontrivially palindromic in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 100041195 and 100041204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523681 + ... + 523871.

Almost surely, 2^100041216 is an apocalyptic number.

100041216 is a gapful number since it is divisible by the number (16) 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 100041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847488).

100041216 is an abundant number, since it is smaller than the sum of its proper divisors (201653760).

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

100041216 is a wasteful number, since it uses less digits than its factorization.

100041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100041216 is about 10002.0605876989. The cubic root of 100041216 is about 464.2226438440. Note that the first 3 decimals are identical.

Adding to 100041216 its reverse (612140001), we get a palindrome (712181217).

The spelling of 100041216 in words is "one hundred million, forty-one thousand, two hundred sixteen".