106109080 has 128 divisors (see below), whose sum is σ = 304404480. Its totient is φ = 32325120.

The previous prime is 106109041. The next prime is 106109089. The reversal of 106109080 is 80901601.

It is a super-2 number, since 2×106109080² = 22518273716892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106109089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144394 + ... + 145126.

It is an arithmetic number, because the mean of its divisors is an integer number (2378160).

Almost surely, 2^106109080 is an apocalyptic number.

106109080 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 106109080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152202240).

106109080 is an abundant number, since it is smaller than the sum of its proper divisors (198295400).

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

106109080 is a wasteful number, since it uses less digits than its factorization.

106109080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 106109080 is about 10300.9261719517. The cubic root of 106109080 is about 473.4246313784.

The spelling of 106109080 in words is "one hundred six million, one hundred nine thousand, eighty".