10856900 has 36 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 4308000.

The previous prime is 10856899. The next prime is 10856929. The reversal of 10856900 is 965801.

10856900 = T₃₀₃ + T₃₀₄ + ... + T₄₅₂.

It is a super-2 number, since 2×10856900² = 235744555220000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 14741 + ... + 15459.

It is an arithmetic number, because the mean of its divisors is an integer number (659680).

Almost surely, 2^10856900 is an apocalyptic number.

10856900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10856900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

10856900 is an abundant number, since it is smaller than the sum of its proper divisors (12891580).

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

10856900 is a wasteful number, since it uses less digits than its factorization.

10856900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 10856900 is about 3294.9810318119. The cubic root of 10856900 is about 221.4293979455.

The spelling of 10856900 in words is "ten million, eight hundred fifty-six thousand, nine hundred".