109385640 has 480 divisors, whose sum is σ = 469271880. Its totient is φ = 22643712.

The previous prime is 109385623. The next prime is 109385669. The reversal of 109385640 is 46583901.

109385640 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 8 + 5 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80030916 + 29354724 = 8946^2 + 5418^2 .

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 = 109385595 and 109385604.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2063854 + ... + 2063906.

Almost surely, 2^109385640 is an apocalyptic number.

109385640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109385640 is the 6615-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109385640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234635940).

109385640 is an abundant number, since it is smaller than the sum of its proper divisors (359886240).

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

109385640 is a wasteful number, since it uses less digits than its factorization.

109385640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 109385640 is about 10458.7590086014. The cubic root of 109385640 is about 478.2483026857.

The spelling of 109385640 in words is "one hundred nine million, three hundred eighty-five thousand, six hundred forty".