88760100 has 144 divisors (see below), whose sum is σ = 301855680. Its totient is φ = 19852800.

The previous prime is 88760083. The next prime is 88760101. The reversal of 88760100 is 106788.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (88760101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 41866 + ... + 43934.

It is an arithmetic number, because the mean of its divisors is an integer number (2096220).

Almost surely, 2^88760100 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 88760100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150927840).

88760100 is an abundant number, since it is smaller than the sum of its proper divisors (213095580).

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

88760100 is a wasteful number, since it uses less digits than its factorization.

88760100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 88760100 is about 9421.2578777995. The cubic root of 88760100 is about 446.0729903934.

Adding to 88760100 its reverse (106788), we get a palindrome (88866888).

The spelling of 88760100 in words is "eighty-eight million, seven hundred sixty thousand, one hundred".