216465100 has 72 divisors (see below), whose sum is σ = 503092800. Its totient is φ = 80596800.

The previous prime is 216465083. The next prime is 216465101. The reversal of 216465100 is 1564612.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (216465101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111135 + ... + 113065.

It is an arithmetic number, because the mean of its divisors is an integer number (6987400).

Almost surely, 2^216465100 is an apocalyptic number.

216465100 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 216465100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251546400).

216465100 is an abundant number, since it is smaller than the sum of its proper divisors (286627700).

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

216465100 is a wasteful number, since it uses less digits than its factorization.

216465100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 216465100 is about 14712.7529714870. The cubic root of 216465100 is about 600.4303394210.

The spelling of 216465100 in words is "two hundred sixteen million, four hundred sixty-five thousand, one hundred".