109806840 has 384 divisors, whose sum is σ = 440294400. Its totient is φ = 24261120.

The previous prime is 109806817. The next prime is 109806857. The reversal of 109806840 is 48608901.

It is a happy number.

It is a super-2 number, since 2×109806840² = 24115084221571200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 109806795 and 109806804.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1389921 + ... + 1389999.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^109806840 is an apocalyptic number.

109806840 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 109806840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

109806840 is an abundant number, since it is smaller than the sum of its proper divisors (330487560).

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

109806840 is a wasteful number, since it uses less digits than its factorization.

109806840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 109806840 is about 10478.8758939115. The cubic root of 109806840 is about 478.8613636090.

The spelling of 109806840 in words is "one hundred nine million, eight hundred six thousand, eight hundred forty".