109835640 has 192 divisors, whose sum is σ = 383628960. Its totient is φ = 27156480.

The previous prime is 109835633. The next prime is 109835641. The reversal of 109835640 is 46538901.

109835640 = 1132² + 1133² + ... + 1211².

109835640 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 3 + 5 + 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 = 109835595 and 109835604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109835641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801652 + ... + 801788.

Almost surely, 2^109835640 is an apocalyptic number.

109835640 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 109835640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191814480).

109835640 is an abundant number, since it is smaller than the sum of its proper divisors (273793320).

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

109835640 is a wasteful number, since it uses less digits than its factorization.

109835640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

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

The square root of 109835640 is about 10480.2499970182. The cubic root of 109835640 is about 478.9032250017.

The spelling of 109835640 in words is "one hundred nine million, eight hundred thirty-five thousand, six hundred forty".