109977120 has 288 divisors, whose sum is σ = 420323904. Its totient is φ = 25958400.

The previous prime is 109977103. The next prime is 109977163. The reversal of 109977120 is 21779901.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839455 + ... + 839585.

It is an arithmetic number, because the mean of its divisors is an integer number (1459458).

Almost surely, 2^109977120 is an apocalyptic number.

109977120 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 109977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210161952).

109977120 is an abundant number, since it is smaller than the sum of its proper divisors (310346784).

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

109977120 is a wasteful number, since it uses less digits than its factorization.

109977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 109977120 is about 10486.9976637739. The cubic root of 109977120 is about 479.1087628917.

The spelling of 109977120 in words is "one hundred nine million, nine hundred seventy-seven thousand, one hundred twenty".