109577680 has 80 divisors (see below), whose sum is σ = 263268864. Its totient is φ = 42393600.

The previous prime is 109577647. The next prime is 109577711. The reversal of 109577680 is 86775901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 567664 + ... + 567856.

Almost surely, 2^109577680 is an apocalyptic number.

109577680 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 109577680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131634432).

109577680 is an abundant number, since it is smaller than the sum of its proper divisors (153691184).

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

109577680 is a wasteful number, since it uses less digits than its factorization.

109577680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 109577680 is about 10467.9358041593. The cubic root of 109577680 is about 478.5280137132.

The spelling of 109577680 in words is "one hundred nine million, five hundred seventy-seven thousand, six hundred eighty".