100086180496 has 45 divisors (see below), whose sum is σ = 195665973321. Its totient is φ = 49595751552.

The previous prime is 100086180479. The next prime is 100086180497. The reversal of 100086180496 is 694081680001.

The square root of 100086180496 is 316364.

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

100086180496 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 only one way, i.e., 16495806096 + 83590374400 = 128436^2 + 289120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100086180497) 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 8 ways as a sum of consecutive naturals, for example, 175898100 + ... + 175898668.

Almost surely, 2^100086180496 is an apocalyptic number.

100086180496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100086180496 is the 316364-th square number.

It is an amenable number.

100086180496 is a deficient number, since it is larger than the sum of its proper divisors (95579792825).

100086180496 is an frugal number, since it uses more digits than its factorization.

100086180496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 100086180496 in words is "one hundred billion, eighty-six million, one hundred eighty thousand, four hundred ninety-six".