106382080 has 144 divisors (see below), whose sum is σ = 301400064. Its totient is φ = 35205120.

The previous prime is 106382051. The next prime is 106382093. The reversal of 106382080 is 80283601.

It is a super-2 number, since 2×106382080² = 22634293890252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277569 + ... + 277951.

It is an arithmetic number, because the mean of its divisors is an integer number (2093056).

Almost surely, 2^106382080 is an apocalyptic number.

106382080 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 106382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150700032).

106382080 is an abundant number, since it is smaller than the sum of its proper divisors (195017984).

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

106382080 is an equidigital number, since it uses as much as digits as its factorization.

106382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 106382080 is about 10314.1688952625. The cubic root of 106382080 is about 473.8302964451.

The spelling of 106382080 in words is "one hundred six million, three hundred eighty-two thousand, eighty".