100216008 has 32 divisors (see below), whose sum is σ = 278378400. Its totient is φ = 33405264.

The previous prime is 100216007. The next prime is 100216009. The reversal of 100216008 is 800612001.

It is an interprime number because it is at equal distance from previous prime (100216007) and next prime (100216009).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100216007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231766 + ... + 232197.

It is an arithmetic number, because the mean of its divisors is an integer number (8699325).

Almost surely, 2^100216008 is an apocalyptic number.

100216008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100216008 is an abundant number, since it is smaller than the sum of its proper divisors (178162392).

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

100216008 is a wasteful number, since it uses less digits than its factorization.

100216008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463978 (or 463968 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100216008 is about 10010.7945738588. The cubic root of 100216008 is about 464.4928497854.

Adding to 100216008 its reverse (800612001), we get a palindrome (900828009).

The spelling of 100216008 in words is "one hundred million, two hundred sixteen thousand, eight".