109778900 has 144 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 33446400.

The previous prime is 109778863. The next prime is 109778909. The reversal of 109778900 is 9877901.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109778909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407966 + ... + 408234.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^109778900 is an apocalyptic number.

109778900 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 109778900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

109778900 is an abundant number, since it is smaller than the sum of its proper divisors (193951660).

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

109778900 is a wasteful number, since it uses less digits than its factorization.

109778900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 41.

The square root of 109778900 is about 10477.5426508318. The cubic root of 109778900 is about 478.8207452485.

Subtracting from 109778900 its reverse (9877901), we obtain a palindrome (99900999).

It can be divided in two parts, 1097 and 78900, that added together give a palindrome (79997).

The spelling of 109778900 in words is "one hundred nine million, seven hundred seventy-eight thousand, nine hundred".