109978560 has 140 divisors (see below), whose sum is σ = 391305288. Its totient is φ = 29320704.

The previous prime is 109978529. The next prime is 109978567. The reversal of 109978560 is 65879901.

109978560 is a `hidden beast` number, since 10 + 9 + 9 + 78 + 560 = 666.

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 (109978567) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 23799 + ... + 28041.

Almost surely, 2^109978560 is an apocalyptic number.

109978560 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 109978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195652644).

109978560 is an abundant number, since it is smaller than the sum of its proper divisors (281326728).

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

109978560 is an equidigital number, since it uses as much as digits as its factorization.

109978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 109978560 is about 10487.0663199963. The cubic root of 109978560 is about 479.1108539740.

The spelling of 109978560 in words is "one hundred nine million, nine hundred seventy-eight thousand, five hundred sixty".