88641100 has 36 divisors (see below), whose sum is σ = 193308808. Its totient is φ = 35280000.

The previous prime is 88641097. The next prime is 88641127. The reversal of 88641100 is 114688.

It is a super-3 number, since 3×88641100³ (a number of 25 digits) contains 333 as substring.

It is a nialpdrome in base 10.

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 11 ways as a sum of consecutive naturals, for example, 19000 + ... + 23200.

Almost surely, 2^88641100 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 88641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96654404).

88641100 is an abundant number, since it is smaller than the sum of its proper divisors (104667708).

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

88641100 is a wasteful number, since it uses less digits than its factorization.

88641100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 88641100 is about 9414.9402547228. The cubic root of 88641100 is about 445.8735523349.

Adding to 88641100 its reverse (114688), we get a palindrome (88755788).

The spelling of 88641100 in words is "eighty-eight million, six hundred forty-one thousand, one hundred".