106580880 has 480 divisors, whose sum is σ = 458006400. Its totient is φ = 22643712.

The previous prime is 106580867. The next prime is 106580893. The reversal of 106580880 is 88085601.

It is an interprime number because it is at equal distance from previous prime (106580867) and next prime (106580893).

It is a super-2 number, since 2×106580880² = 22718967963148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2010934 + ... + 2010986.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 2^106580880 is an apocalyptic number.

106580880 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 106580880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229003200).

106580880 is an abundant number, since it is smaller than the sum of its proper divisors (351425520).

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

106580880 is a wasteful number, since it uses less digits than its factorization.

106580880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 106580880 is about 10323.8016253704. The cubic root of 106580880 is about 474.1252673244.

The spelling of 106580880 in words is "one hundred six million, five hundred eighty thousand, eight hundred eighty".