109787040 has 288 divisors, whose sum is σ = 424569600. Its totient is φ = 25589760.

The previous prime is 109787033. The next prime is 109787047. The reversal of 109787040 is 40787901.

It is an interprime number because it is at equal distance from previous prime (109787033) and next prime (109787047).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 109786986 and 109787004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109787047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459241 + ... + 459479.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^109787040 is an apocalyptic number.

109787040 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 109787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

109787040 is an abundant number, since it is smaller than the sum of its proper divisors (314782560).

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

109787040 is a wasteful number, since it uses less digits than its factorization.

109787040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 109787040 is about 10477.9310934936. The cubic root of 109787040 is about 478.8325796555.

The spelling of 109787040 in words is "one hundred nine million, seven hundred eighty-seven thousand, forty".