109778112 has 224 divisors, whose sum is σ = 354421440. Its totient is φ = 33177600.

The previous prime is 109778111. The next prime is 109778117. The reversal of 109778112 is 211877901.

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

It is not an unprimeable number, because it can be changed into a prime (109778111) 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, 1086862 + ... + 1086962.

Almost surely, 2^109778112 is an apocalyptic number.

109778112 is a gapful number since it is divisible by the number (12) 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 109778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177210720).

109778112 is an abundant number, since it is smaller than the sum of its proper divisors (244643328).

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

109778112 is a wasteful number, since it uses less digits than its factorization.

109778112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 109778112 is about 10477.5050465271. The cubic root of 109778112 is about 478.8195995771.

The spelling of 109778112 in words is "one hundred nine million, seven hundred seventy-eight thousand, one hundred twelve".