128362616100 has 108 divisors (see below), whose sum is σ = 403425218196. Its totient is φ = 34138172160.

The previous prime is 128362616087. The next prime is 128362616119. The reversal of 128362616100 is 1616263821.

It is a happy number.

128362616100 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 626 + 16 + 10 + 0 = 666.

128362616100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 832207104 + 127530408996 = 28848^2 + 357114^2 .

It is a super-2 number, since 2×128362616100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144514 + ... + 526886.

It is an arithmetic number, because the mean of its divisors is an integer number (3735418687).

Almost surely, 2^128362616100 is an apocalyptic number.

128362616100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128362616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201712609098).

128362616100 is an abundant number, since it is smaller than the sum of its proper divisors (275062602096).

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

128362616100 is a wasteful number, since it uses less digits than its factorization.

128362616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382766 (or 382756 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 128362616100 its reverse (1616263821), we get a palindrome (129978879921).

The spelling of 128362616100 in words is "one hundred twenty-eight billion, three hundred sixty-two million, six hundred sixteen thousand, one hundred".