100829800 has 24 divisors (see below), whose sum is σ = 234429750. Its totient is φ = 40331840.

The previous prime is 100829779. The next prime is 100829801. The reversal of 100829800 is 8928001.

It can be written as a sum of positive squares in 3 ways, for example, as 98525476 + 2304324 = 9926^2 + 1518^2 .

It is not an unprimeable number, because it can be changed into a prime (100829801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251875 + ... + 252274.

Almost surely, 2^100829800 is an apocalyptic number.

100829800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100829800 is an abundant number, since it is smaller than the sum of its proper divisors (133599950).

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

100829800 is a wasteful number, since it uses less digits than its factorization.

100829800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504165 (or 504156 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 100829800 is about 10041.4042842622. The cubic root of 100829800 is about 465.4392119472.

It can be divided in two parts, 10082 and 9800, that multiplied together give a square (98803600 = 9940²).

The spelling of 100829800 in words is "one hundred million, eight hundred twenty-nine thousand, eight hundred".