128099568100 has 81 divisors (see below), whose sum is σ = 323423164827. Its totient is φ = 43911262080.

The previous prime is 128099568067. The next prime is 128099568101. The reversal of 128099568100 is 1865990821.

The square root of 128099568100 is 357910.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69547183524 + 58552384576 = 263718^2 + 241976^2 .

It is a super-2 number, since 2×128099568100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (128099568101) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 25051144 + ... + 25056256.

Almost surely, 2^128099568100 is an apocalyptic number.

128099568100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128099568100 is the 357910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128099568100

128099568100 is an abundant number, since it is smaller than the sum of its proper divisors (195323596727).

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

128099568100 is an frugal number, since it uses more digits than its factorization.

128099568100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10254 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 49.

Multiplying 128099568100 by its sum of digits (49), we get a square (6276878836900 = 2505370²).

128099568100 divided by its sum of digits (49) gives a square (2614276900 = 51130²).

The spelling of 128099568100 in words is "one hundred twenty-eight billion, ninety-nine million, five hundred sixty-eight thousand, one hundred".