100825803 has 28 divisors (see below), whose sum is σ = 162813280. Its totient is φ = 62040816.

The previous prime is 100825787. The next prime is 100825811. The reversal of 100825803 is 308528001.

It is a happy number.

100825803 is a `hidden beast` number, since 1 + 0 + 0 + 82 + 580 + 3 = 666.

It is not a de Polignac number, because 100825803 - 2⁴ = 100825787 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100825003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4158 + ... + 14796.

It is an arithmetic number, because the mean of its divisors is an integer number (5814760).

Almost surely, 2^100825803 is an apocalyptic number.

100825803 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100825803 is a deficient number, since it is larger than the sum of its proper divisors (61987477).

100825803 is an equidigital number, since it uses as much as digits as its factorization.

100825803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10670 (or 10655 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 100825803 is about 10041.2052563425. The cubic root of 100825803 is about 465.4330616982.

The spelling of 100825803 in words is "one hundred million, eight hundred twenty-five thousand, eight hundred three".