109763808 has 192 divisors, whose sum is σ = 371589120. Its totient is φ = 27532800.

The previous prime is 109763803. The next prime is 109763809. The reversal of 109763808 is 808367901.

It is a super-3 number, since 3×109763808³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 109763808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109763803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228913 + ... + 229391.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 2^109763808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109763808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

109763808 is an abundant number, since it is smaller than the sum of its proper divisors (261825312).

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

109763808 is a wasteful number, since it uses less digits than its factorization.

109763808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 109763808 is about 10476.8224190353. The cubic root of 109763808 is about 478.7988020704.

The spelling of 109763808 in words is "one hundred nine million, seven hundred sixty-three thousand, eight hundred eight".