216005100 has 72 divisors (see below), whose sum is σ = 626449488. Its totient is φ = 57465600.

The previous prime is 216005059. The next prime is 216005113. The reversal of 216005100 is 1500612.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 216005100.

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, 245862 + ... + 246738.

Almost surely, 2^216005100 is an apocalyptic number.

216005100 is a gapful number since it is divisible by the number (20) 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 216005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313224744).

216005100 is an abundant number, since it is smaller than the sum of its proper divisors (410444388).

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

216005100 is a wasteful number, since it uses less digits than its factorization.

216005100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 216005100 is about 14697.1119611984. Note that the first 3 decimals coincide. The cubic root of 216005100 is about 600.0047221851.

Adding to 216005100 its reverse (1500612), we get a palindrome (217505712).

The spelling of 216005100 in words is "two hundred sixteen million, five thousand, one hundred".