10506800 has 30 divisors (see below), whose sum is σ = 25243548. Its totient is φ = 4202560.

The previous prime is 10506767. The next prime is 10506841. The reversal of 10506800 is 860501.

It is a super-2 number, since 2×10506800² = 220785692480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12734 + ... + 13533.

Almost surely, 2^10506800 is an apocalyptic number.

10506800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506800 is an abundant number, since it is smaller than the sum of its proper divisors (14736748).

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

10506800 is a wasteful number, since it uses less digits than its factorization.

10506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26285 (or 26274 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10506800 is about 3241.4194421580. The cubic root of 10506800 is about 219.0232177938.

The spelling of 10506800 in words is "ten million, five hundred six thousand, eight hundred".