109071275040 has 864 divisors, whose sum is σ = 471644933760. Its totient is φ = 22462562304.

The previous prime is 109071275039. The next prime is 109071275057. The reversal of 109071275040 is 40572170901.

It is a happy number.

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 = 109071274986 and 109071275004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73250616 + ... + 73252104.

It is an arithmetic number, because the mean of its divisors is an integer number (545885340).

Almost surely, 2^109071275040 is an apocalyptic number.

109071275040 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 109071275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235822466880).

109071275040 is an abundant number, since it is smaller than the sum of its proper divisors (362573658720).

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

109071275040 is a wasteful number, since it uses less digits than its factorization.

109071275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 109071275040 in words is "one hundred nine billion, seventy-one million, two hundred seventy-five thousand, forty".