108933306900544 has 63 divisors (see below), whose sum is σ = 251458048378173. Its totient is φ = 46685452466688.

The previous prime is 108933306900521. The next prime is 108933306900559. The reversal of 108933306900544 is 445009603339801.

The square root of 108933306900544 is 10437112.

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., 85113909518400 + 23819397382144 = 9225720^2 + 4880512^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 584385084 + ... + 584571460.

Almost surely, 2^{108933306900544} is an apocalyptic number.

108933306900544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

108933306900544 is the 10437112-nd square number.

It is an amenable number.

108933306900544 is an abundant number, since it is smaller than the sum of its proper divisors (142524741477629).

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

108933306900544 is an frugal number, since it uses more digits than its factorization.

108933306900544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372780 (or 186386 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 108933306900544 in words is "one hundred eight trillion, nine hundred thirty-three billion, three hundred six million, nine hundred thousand, five hundred forty-four".