109064736 has 144 divisors (see below), whose sum is σ = 342014400. Its totient is φ = 32693760.

The previous prime is 109064729. The next prime is 109064759. The reversal of 109064736 is 637460901.

109064736 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 647 + 3 + 6 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 109064736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547965 + ... + 548163.

It is an arithmetic number, because the mean of its divisors is an integer number (2375100).

Almost surely, 2^109064736 is an apocalyptic number.

109064736 is a gapful number since it is divisible by the number (16) 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 109064736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171007200).

109064736 is an abundant number, since it is smaller than the sum of its proper divisors (232949664).

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

109064736 is a wasteful number, since it uses less digits than its factorization.

109064736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

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

The square root of 109064736 is about 10443.4063408449. The cubic root of 109064736 is about 477.7801665325.

The spelling of 109064736 in words is "one hundred nine million, sixty-four thousand, seven hundred thirty-six".