109736640 has 224 divisors, whose sum is σ = 417332160. Its totient is φ = 26984448.

The previous prime is 109736639. The next prime is 109736651. The reversal of 109736640 is 46637901.

109736640 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 3 + 6 + 640 = 666.

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 = 109736595 and 109736604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111832 + ... + 112808.

It is an arithmetic number, because the mean of its divisors is an integer number (1863090).

Almost surely, 2^109736640 is an apocalyptic number.

109736640 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 109736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208666080).

109736640 is an abundant number, since it is smaller than the sum of its proper divisors (307595520).

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

109736640 is a wasteful number, since it uses less digits than its factorization.

109736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 109736640 is about 10475.5257624618. The cubic root of 109736640 is about 478.7592957903.

The spelling of 109736640 in words is "one hundred nine million, seven hundred thirty-six thousand, six hundred forty".