106882048 has 176 divisors, whose sum is σ = 278785024. Its totient is φ = 39813120.

The previous prime is 106882033. The next prime is 106882073. The reversal of 106882048 is 840288601.

It is a super-2 number, since 2×106882048² = 22847544369348608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 106881998 and 106882016.

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 15 ways as a sum of consecutive naturals, for example, 2888686 + ... + 2888722.

Almost surely, 2^106882048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139392512).

106882048 is an abundant number, since it is smaller than the sum of its proper divisors (171902976).

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

106882048 is a wasteful number, since it uses less digits than its factorization.

106882048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 106882048 is about 10338.3774355553. The cubic root of 106882048 is about 474.5714295035.

The spelling of 106882048 in words is "one hundred six million, eight hundred eighty-two thousand, forty-eight".