106048768 has 144 divisors (see below), whose sum is σ = 263725056. Its totient is φ = 41564160.

The previous prime is 106048763. The next prime is 106048769. The reversal of 106048768 is 867840601.

It is a super-2 number, since 2×106048768² = 22492682388635648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106048768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106048763) 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, 1277655 + ... + 1277737.

It is an arithmetic number, because the mean of its divisors is an integer number (1831424).

Almost surely, 2^106048768 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 106048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131862528).

106048768 is an abundant number, since it is smaller than the sum of its proper divisors (157676288).

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

106048768 is an equidigital number, since it uses as much as digits as its factorization.

106048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 106048768 is about 10297.9982520876. The cubic root of 106048768 is about 473.3349167881.

The spelling of 106048768 in words is "one hundred six million, forty-eight thousand, seven hundred sixty-eight".