88100 has 18 divisors (see below), whose sum is σ = 191394. Its totient is φ = 35200.

The previous prime is 88093. The next prime is 88117. The reversal of 88100 is 188.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 484 + 87616 = 22^2 + 296^2 .

It is a super-2 number, since 2×88100² = 15523220000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 341 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (10633).

2⁸⁸¹⁰⁰ is an apocalyptic number.

It is an amenable number.

88100 is an abundant number, since it is smaller than the sum of its proper divisors (103294).

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

88100 is a wasteful number, since it uses less digits than its factorization.

88100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 88100 is about 296.8164415931. The cubic root of 88100 is about 44.4964437675.

Adding to 88100 its reverse (188), we get a palindrome (88288).

The spelling of 88100 in words is "eighty-eight thousand, one hundred".