109938240 has 168 divisors, whose sum is σ = 385145280. Its totient is φ = 28775424.

The previous prime is 109938239. The next prime is 109938247. The reversal of 109938240 is 42839901.

It is a super-2 number, since 2×109938240² = 24172833228595200, which contains 22 as substring.

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 = 109938195 and 109938204.

It is not an unprimeable number, because it can be changed into a prime (109938247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169597 + ... + 170243.

Almost surely, 2^109938240 is an apocalyptic number.

109938240 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 109938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192572640).

109938240 is an abundant number, since it is smaller than the sum of its proper divisors (275207040).

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

109938240 is a wasteful number, since it uses less digits than its factorization.

109938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 109938240 is about 10485.1437758383. The cubic root of 109938240 is about 479.0522967702.

The spelling of 109938240 in words is "one hundred nine million, nine hundred thirty-eight thousand, two hundred forty".