106810048 has 56 divisors (see below), whose sum is σ = 226478592. Its totient is φ = 49803264.

The previous prime is 106810021. The next prime is 106810049. The reversal of 106810048 is 840018601.

It is a super-2 number, since 2×106810048² = 22816772707524608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106809998 and 106810025.

It is not an unprimeable number, because it can be changed into a prime (106810049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137790 + ... + 138562.

Almost surely, 2^106810048 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 106810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113239296).

106810048 is an abundant number, since it is smaller than the sum of its proper divisors (119668544).

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

106810048 is a wasteful number, since it uses less digits than its factorization.

106810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 106810048 is about 10334.8946777410. The cubic root of 106810048 is about 474.4648421672.

Adding to 106810048 its reverse (840018601), we get a palindrome (946828649).

The spelling of 106810048 in words is "one hundred six million, eight hundred ten thousand, forty-eight".