106586880 has 144 divisors (see below), whose sum is σ = 349229664. Its totient is φ = 27688960.

The previous prime is 106586819. The next prime is 106586881. The reversal of 106586880 is 88685601.

It is a super-2 number, since 2×106586880² = 22721525976268800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106586881) 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, 157102 + ... + 157778.

It is an arithmetic number, because the mean of its divisors is an integer number (2425206).

Almost surely, 2^106586880 is an apocalyptic number.

106586880 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 106586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174614832).

106586880 is an abundant number, since it is smaller than the sum of its proper divisors (242642784).

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

106586880 is an equidigital number, since it uses as much as digits as its factorization.

106586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 106586880 is about 10324.0922119090. The cubic root of 106586880 is about 474.1341641617.

It can be divided in two parts, 106 and 586880, that added together give a triangular number (586986 = T₁₀₈₃).

The spelling of 106586880 in words is "one hundred six million, five hundred eighty-six thousand, eight hundred eighty".