89200104 has 64 divisors (see below), whose sum is σ = 256089600. Its totient is φ = 25362624.

The previous prime is 89200099. The next prime is 89200121. The reversal of 89200104 is 40100298.

It is a super-2 number, since 2×89200104² = 15913317107221632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36967 + ... + 39305.

It is an arithmetic number, because the mean of its divisors is an integer number (4001400).

Almost surely, 2^89200104 is an apocalyptic number.

89200104 is a gapful number since it is divisible by the number (84) 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 89200104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

89200104 is an abundant number, since it is smaller than the sum of its proper divisors (166889496).

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

89200104 is a wasteful number, since it uses less digits than its factorization.

89200104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 89200104 is about 9444.5806682986. The cubic root of 89200104 is about 446.8088708379.

The spelling of 89200104 in words is "eighty-nine million, two hundred thousand, one hundred four".