88440812100 has 243 divisors, whose sum is σ = 290463500509. Its totient is φ = 22506475200.

The previous prime is 88440812003. The next prime is 88440812137. The reversal of 88440812100 is 121804488.

It is a happy number.

The square root of 88440812100 is 297390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31838692356 + 56602119744 = 178434^2 + 237912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 205198885 + ... + 205199315.

Almost surely, 2^88440812100 is an apocalyptic number.

88440812100 is the 297390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88440812100

88440812100 is an abundant number, since it is smaller than the sum of its proper divisors (202022688409).

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

88440812100 is a wasteful number, since it uses less digits than its factorization.

88440812100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

Multiplying 88440812100 by its sum of digits (36), we get a square (3183869235600 = 1784340²).

88440812100 divided by its sum of digits (36) gives a square (2456689225 = 49565²).

The spelling of 88440812100 in words is "eighty-eight billion, four hundred forty million, eight hundred twelve thousand, one hundred".