109868640 has 192 divisors, whose sum is σ = 416586240. Its totient is φ = 23777280.

The previous prime is 109868639. The next prime is 109868653. The reversal of 109868640 is 46868901.

It is a super-2 number, since 2×109868640² = 24142236110899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 109868592 and 109868601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62980 + ... + 64700.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 2^109868640 is an apocalyptic number.

109868640 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 109868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208293120).

109868640 is an abundant number, since it is smaller than the sum of its proper divisors (306717600).

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

109868640 is a wasteful number, since it uses less digits than its factorization.

109868640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 109868640 is about 10481.8242687044. The cubic root of 109868640 is about 478.9511821855.

The spelling of 109868640 in words is "one hundred nine million, eight hundred sixty-eight thousand, six hundred forty".