100863828 has 36 divisors (see below), whose sum is σ = 274575028. Its totient is φ = 31034880.

The previous prime is 100863793. The next prime is 100863859. The reversal of 100863828 is 828368001.

100863828 is a `hidden beast` number, since 10 + 0 + 8 + 638 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66781584 + 34082244 = 8172^2 + 5838^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100863792 and 100863801.

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 11 ways as a sum of consecutive naturals, for example, 107293 + ... + 108228.

Almost surely, 2^100863828 is an apocalyptic number.

100863828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100863828 is an abundant number, since it is smaller than the sum of its proper divisors (173711200).

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

100863828 is a wasteful number, since it uses less digits than its factorization.

100863828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215544 (or 215539 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 100863828 is about 10043.0985258535. The cubic root of 100863828 is about 465.4915648037.

The spelling of 100863828 in words is "one hundred million, eight hundred sixty-three thousand, eight hundred twenty-eight".