10485900 has 108 divisors (see below), whose sum is σ = 33581184. Its totient is φ = 2736000.

The previous prime is 10485899. The next prime is 10485901. The reversal of 10485900 is 958401.

It is an interprime number because it is at equal distance from previous prime (10485899) and next prime (10485901).

It is not an unprimeable number, because it can be changed into a prime (10485901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54805 + ... + 54995.

Almost surely, 2^10485900 is an apocalyptic number.

10485900 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 10485900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790592).

10485900 is an abundant number, since it is smaller than the sum of its proper divisors (23095284).

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

10485900 is a wasteful number, since it uses less digits than its factorization.

10485900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10485900 is about 3238.1939410727. The cubic root of 10485900 is about 218.8778952777.

The spelling of 10485900 in words is "ten million, four hundred eighty-five thousand, nine hundred".