918668100 has 144 divisors (see below), whose sum is σ = 3216544128. Its totient is φ = 197621760.

The previous prime is 918668071. The next prime is 918668123. The reversal of 918668100 is 1866819.

It is a super-2 number, since 2×918668100² = 1687902155915220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22834 + ... + 48566.

It is an arithmetic number, because the mean of its divisors is an integer number (22337112).

Almost surely, 2^918668100 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 918668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608272064).

918668100 is an abundant number, since it is smaller than the sum of its proper divisors (2297876028).

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

918668100 is a wasteful number, since it uses less digits than its factorization.

918668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25774 (or 25767 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 918668100 is about 30309.5381027161. The cubic root of 918668100 is about 972.1192549576.

The spelling of 918668100 in words is "nine hundred eighteen million, six hundred sixty-eight thousand, one hundred".