106986880 has 256 divisors, whose sum is σ = 345461760. Its totient is φ = 30597120.

The previous prime is 106986877. The next prime is 106986907. The reversal of 106986880 is 88689601.

It is a super-2 number, since 2×106986880² = 22892384984268800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106986880.

It is a congruent number.

It is an unprimeable number.

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, 640557 + ... + 640723.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^106986880 is an apocalyptic number.

106986880 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 106986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

106986880 is an abundant number, since it is smaller than the sum of its proper divisors (238474880).

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

106986880 is a wasteful number, since it uses less digits than its factorization.

106986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 106986880 is about 10343.4462342103. The cubic root of 106986880 is about 474.7265351130.

It can be divided in two parts, 10698 and 6880, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 106986880 in words is "one hundred six million, nine hundred eighty-six thousand, eight hundred eighty".