100458216 has 96 divisors (see below), whose sum is σ = 280729800. Its totient is φ = 32440320.

The previous prime is 100458209. The next prime is 100458221. The reversal of 100458216 is 612854001.

It can be written as a sum of positive squares in 4 ways, for example, as 74753316 + 25704900 = 8646^2 + 5070^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100458216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390760 + ... + 391016.

Almost surely, 2^100458216 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 100458216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140364900).

100458216 is an abundant number, since it is smaller than the sum of its proper divisors (180271584).

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

100458216 is a wasteful number, since it uses less digits than its factorization.

100458216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 100458216 is about 10022.8846147205. The cubic root of 100458216 is about 464.8667533582.

The spelling of 100458216 in words is "one hundred million, four hundred fifty-eight thousand, two hundred sixteen".