89168100 has 72 divisors (see below), whose sum is σ = 294856128. Its totient is φ = 20380800.

The previous prime is 89168099. The next prime is 89168117. The reversal of 89168100 is 186198.

It is a super-2 number, since 2×89168100² = 15901900115220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19131 + ... + 23330.

It is an arithmetic number, because the mean of its divisors is an integer number (4095224).

Almost surely, 2^89168100 is an apocalyptic number.

It is an amenable number.

89168100 is an abundant number, since it is smaller than the sum of its proper divisors (205688028).

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

89168100 is a wasteful number, since it uses less digits than its factorization.

89168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42485 (or 42478 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 89168100 is about 9442.8862113233. The cubic root of 89168100 is about 446.7554277701.

The spelling of 89168100 in words is "eighty-nine million, one hundred sixty-eight thousand, one hundred".