106448820 has 48 divisors (see below), whose sum is σ = 298515840. Its totient is φ = 28342656.

The previous prime is 106448813. The next prime is 106448851. The reversal of 106448820 is 28844601.

It is a super-2 number, since 2×106448820² = 22662702558784800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62946 + ... + 64614.

It is an arithmetic number, because the mean of its divisors is an integer number (6219080).

Almost surely, 2^106448820 is an apocalyptic number.

106448820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106448820 is an abundant number, since it is smaller than the sum of its proper divisors (192067020).

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

106448820 is a wasteful number, since it uses less digits than its factorization.

106448820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 106448820 is about 10317.4037431904. The cubic root of 106448820 is about 473.9293633280.

The spelling of 106448820 in words is "one hundred six million, four hundred forty-eight thousand, eight hundred twenty".