109175040 has 324 divisors, whose sum is σ = 422415084. Its totient is φ = 26873856.

The previous prime is 109175039. The next prime is 109175047. The reversal of 109175040 is 40571901.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 82301184 = 5184^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 109174995 and 109175013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109175047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8398074 + ... + 8398086.

Almost surely, 2^109175040 is an apocalyptic number.

109175040 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 109175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211207542).

109175040 is an abundant number, since it is smaller than the sum of its proper divisors (313240044).

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

109175040 is an frugal number, since it uses more digits than its factorization.

109175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 109175040 is about 10448.6860417949. The cubic root of 109175040 is about 477.9411819342.

The spelling of 109175040 in words is "one hundred nine million, one hundred seventy-five thousand, forty".