106519820 has 24 divisors (see below), whose sum is σ = 244027728. Its totient is φ = 38734400.

The previous prime is 106519817. The next prime is 106519837. The reversal of 106519820 is 28915601.

It is a super-2 number, since 2×106519820² = 22692944105664800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 241871 + ... + 242310.

It is an arithmetic number, because the mean of its divisors is an integer number (10167822).

Almost surely, 2^106519820 is an apocalyptic number.

106519820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106519820 is an abundant number, since it is smaller than the sum of its proper divisors (137507908).

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

106519820 is a wasteful number, since it uses less digits than its factorization.

106519820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484201 (or 484199 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 106519820 is about 10320.8439577391. The cubic root of 106519820 is about 474.0347081826.

The spelling of 106519820 in words is "one hundred six million, five hundred nineteen thousand, eight hundred twenty".