106787808 has 144 divisors (see below), whose sum is σ = 325817856. Its totient is φ = 34369920.

The previous prime is 106787803. The next prime is 106787867. The reversal of 106787808 is 808787601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106787808² = 22807271874889728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106787803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240835 + ... + 241277.

It is an arithmetic number, because the mean of its divisors is an integer number (2262624).

Almost surely, 2^106787808 is an apocalyptic number.

106787808 is a gapful number since it is divisible by the number (18) 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 106787808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162908928).

106787808 is an abundant number, since it is smaller than the sum of its proper divisors (219030048).

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

106787808 is an equidigital number, since it uses as much as digits as its factorization.

106787808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 106787808 is about 10333.8186552697. The cubic root of 106787808 is about 474.4319088407.

The spelling of 106787808 in words is "one hundred six million, seven hundred eighty-seven thousand, eight hundred eight".