105396820 has 12 divisors (see below), whose sum is σ = 221333364. Its totient is φ = 42158720.

The previous prime is 105396761. The next prime is 105396839. The reversal of 105396820 is 28693501.

It can be written as a sum of positive squares in 2 ways, for example, as 53758224 + 51638596 = 7332^2 + 7186^2 .

It is a super-3 number, since 3×105396820³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2634901 + ... + 2634940.

It is an arithmetic number, because the mean of its divisors is an integer number (18444447).

Almost surely, 2^105396820 is an apocalyptic number.

105396820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105396820 is an abundant number, since it is smaller than the sum of its proper divisors (115936544).

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

105396820 is a wasteful number, since it uses less digits than its factorization.

105396820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269850 (or 5269848 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 105396820 is about 10266.2953396052. The cubic root of 105396820 is about 472.3629605475.

The spelling of 105396820 in words is "one hundred five million, three hundred ninety-six thousand, eight hundred twenty".