10888086084100 has 81 divisors (see below), whose sum is σ = 23725724260063. Its totient is φ = 4337138824000.

The previous prime is 10888086084049. The next prime is 10888086084103. The reversal of 10888086084100 is 148068088801.

The square root of 10888086084100 is 3299710.

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 4104452356 + 10883981631744 = 64066^2 + 3299088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10888086084103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10262097570 + ... + 10262098630.

Almost surely, 2^{10888086084100} is an apocalyptic number.

10888086084100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10888086084100 is the 3299710-th square number.

It is an amenable number.

10888086084100 is an abundant number, since it is smaller than the sum of its proper divisors (12837638175963).

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

10888086084100 is an frugal number, since it uses more digits than its factorization.

10888086084100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 52.

The spelling of 10888086084100 in words is "ten trillion, eight hundred eighty-eight billion, eighty-six million, eighty-four thousand, one hundred".