10820700 has 108 divisors (see below), whose sum is σ = 37034088. Its totient is φ = 2620800.

The previous prime is 10820699. The next prime is 10820737. The reversal of 10820700 is 702801.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 9354 + ... + 10446.

Almost surely, 2^10820700 is an apocalyptic number.

10820700 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 10820700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517044).

10820700 is an abundant number, since it is smaller than the sum of its proper divisors (26213388).

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

10820700 is a wasteful number, since it uses less digits than its factorization.

10820700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10820700 is about 3289.4832420914. The cubic root of 10820700 is about 221.1830209972.

The spelling of 10820700 in words is "ten million, eight hundred twenty thousand, seven hundred".