109882016544 has 96 divisors (see below), whose sum is σ = 312856520256. Its totient is φ = 33631969280.

The previous prime is 109882016533. The next prime is 109882016557. The reversal of 109882016544 is 445610288901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 109882016493 and 109882016502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754182 + ... + 888005.

It is an arithmetic number, because the mean of its divisors is an integer number (3258922086).

Almost surely, 2^109882016544 is an apocalyptic number.

It is an amenable number.

109882016544 is an abundant number, since it is smaller than the sum of its proper divisors (202974503712).

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

109882016544 is a wasteful number, since it uses less digits than its factorization.

109882016544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642258 (or 1642250 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 109882016544 in words is "one hundred nine billion, eight hundred eighty-two million, sixteen thousand, five hundred forty-four".