105355820 has 24 divisors (see below), whose sum is σ = 222490800. Its totient is φ = 41905472.

The previous prime is 105355819. The next prime is 105355837. The reversal of 105355820 is 28553501.

It is a super-2 number, since 2×105355820² = 22199697615744800, 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, 11135 + ... + 18294.

It is an arithmetic number, because the mean of its divisors is an integer number (9270450).

Almost surely, 2^105355820 is an apocalyptic number.

105355820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105355820 is an abundant number, since it is smaller than the sum of its proper divisors (117134980).

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

105355820 is a wasteful number, since it uses less digits than its factorization.

105355820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29617 (or 29615 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 105355820 is about 10264.2983199048. The cubic root of 105355820 is about 472.3017019213.

The spelling of 105355820 in words is "one hundred five million, three hundred fifty-five thousand, eight hundred twenty".