10842800 has 30 divisors (see below), whose sum is σ = 26050788. Its totient is φ = 4336960.

The previous prime is 10842791. The next prime is 10842803. The reversal of 10842800 is 824801.

It is not an unprimeable number, because it can be changed into a prime (10842803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 13154 + ... + 13953.

Almost surely, 2^10842800 is an apocalyptic number.

10842800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10842800 is an abundant number, since it is smaller than the sum of its proper divisors (15207988).

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

10842800 is a wasteful number, since it uses less digits than its factorization.

10842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27125 (or 27114 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 10842800 is about 3292.8407188930. The cubic root of 10842800 is about 221.3334986531. Note that the first 3 decimals are identical.

The spelling of 10842800 in words is "ten million, eight hundred forty-two thousand, eight hundred".