109820040 has 128 divisors (see below), whose sum is σ = 361912320. Its totient is φ = 26438400.

The previous prime is 109819999. The next prime is 109820047. The reversal of 109820040 is 40028901.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (109820047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357567 + ... + 357873.

It is an arithmetic number, because the mean of its divisors is an integer number (2827440).

Almost surely, 2^109820040 is an apocalyptic number.

109820040 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 109820040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180956160).

109820040 is an abundant number, since it is smaller than the sum of its proper divisors (252092280).

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

109820040 is a wasteful number, since it uses less digits than its factorization.

109820040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 109820040 is about 10479.5057135344. The cubic root of 109820040 is about 478.8805509891.

Adding to 109820040 its reverse (40028901), we get a palindrome (149848941).

The spelling of 109820040 in words is "one hundred nine million, eight hundred twenty thousand, forty".