106382880 has 72 divisors (see below), whose sum is σ = 363036492. Its totient is φ = 28368384.

The previous prime is 106382879. The next prime is 106382893. The reversal of 106382880 is 88283601.

106382880 is a `hidden beast` number, since 10 + 638 + 2 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98962704 + 7420176 = 9948^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106382880² = 22634634314188800, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 35499 + ... + 38378.

Almost surely, 2^106382880 is an apocalyptic number.

106382880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106382880 is an abundant number, since it is smaller than the sum of its proper divisors (256653612).

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

106382880 is a wasteful number, since it uses less digits than its factorization.

106382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73898 (or 73887 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 106382880 is about 10314.2076767922. The cubic root of 106382880 is about 473.8314841868.

The spelling of 106382880 in words is "one hundred six million, three hundred eighty-two thousand, eight hundred eighty".