106106880 has 208 divisors, whose sum is σ = 372723264. Its totient is φ = 25559040.

The previous prime is 106106879. The next prime is 106106899. The reversal of 106106880 is 88601601.

It is a super-2 number, since 2×106106880² = 22517339966668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675762 + ... + 675918.

Almost surely, 2^106106880 is an apocalyptic number.

106106880 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 106106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186361632).

106106880 is an abundant number, since it is smaller than the sum of its proper divisors (266616384).

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

106106880 is a wasteful number, since it uses less digits than its factorization.

106106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 106106880 is about 10300.8193848839. The cubic root of 106106880 is about 473.4213594580.

The spelling of 106106880 in words is "one hundred six million, one hundred six thousand, eight hundred eighty".