109875040 has 96 divisors (see below), whose sum is σ = 285659136. Its totient is φ = 39605760.

The previous prime is 109875011. The next prime is 109875041. The reversal of 109875040 is 40578901.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 109874987 and 109875005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109875041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286689 + ... + 287071.

It is an arithmetic number, because the mean of its divisors is an integer number (2975616).

Almost surely, 2^109875040 is an apocalyptic number.

109875040 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 109875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142829568).

109875040 is an abundant number, since it is smaller than the sum of its proper divisors (175784096).

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

109875040 is a wasteful number, since it uses less digits than its factorization.

109875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 109875040 is about 10482.1295546277. The cubic root of 109875040 is about 478.9604818609.

It can be divided in two parts, 1098750 and 40, that multiplied together give a triangular number (43950000 = T₉₃₇₅).

The spelling of 109875040 in words is "one hundred nine million, eight hundred seventy-five thousand, forty".