10485100 has 18 divisors (see below), whose sum is σ = 22752884. Its totient is φ = 4194000.

The previous prime is 10485071. The next prime is 10485103. The reversal of 10485100 is 158401.

It is not an unprimeable number, because it can be changed into a prime (10485103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52326 + ... + 52525.

Almost surely, 2^10485100 is an apocalyptic number.

10485100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10485100 is an abundant number, since it is smaller than the sum of its proper divisors (12267784).

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

10485100 is a wasteful number, since it uses less digits than its factorization.

10485100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104865 (or 104858 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 10485100 is about 3238.0704130701. The cubic root of 10485100 is about 218.8723288577.

It can be divided in two parts, 10485 and 100, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 10485100 in words is "ten million, four hundred eighty-five thousand, one hundred".