109577880 has 128 divisors (see below), whose sum is σ = 367646400. Its totient is φ = 29030400.

The previous prime is 109577879. The next prime is 109577887. The reversal of 109577880 is 88775901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109577887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260070 + ... + 260490.

Almost surely, 2^109577880 is an apocalyptic number.

109577880 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 109577880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183823200).

109577880 is an abundant number, since it is smaller than the sum of its proper divisors (258068520).

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

109577880 is a wasteful number, since it uses less digits than its factorization.

109577880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 109577880 is about 10467.9453571367. The cubic root of 109577880 is about 478.5283048478.

The spelling of 109577880 in words is "one hundred nine million, five hundred seventy-seven thousand, eight hundred eighty".