88244100 has 432 divisors, whose sum is σ = 356227200. Its totient is φ = 18627840.

The previous prime is 88244087. The next prime is 88244141. The reversal of 88244100 is 144288.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 3042886 + ... + 3042914.

It is an arithmetic number, because the mean of its divisors is an integer number (824600).

Almost surely, 2^88244100 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 88244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

88244100 is an abundant number, since it is smaller than the sum of its proper divisors (267983100).

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

88244100 is a wasteful number, since it uses less digits than its factorization.

88244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 88244100 is about 9393.8330834649. The cubic root of 88244100 is about 445.2069062652.

Adding to 88244100 its reverse (144288), we get a palindrome (88388388).

The spelling of 88244100 in words is "eighty-eight million, two hundred forty-four thousand, one hundred".