100676800 has 168 divisors, whose sum is σ = 289133280. Its totient is φ = 33792000.

The previous prime is 100676791. The next prime is 100676827. The reversal of 100676800 is 8676001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996750 + ... + 996850.

Almost surely, 2^100676800 is an apocalyptic number.

100676800 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 100676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144566640).

100676800 is an abundant number, since it is smaller than the sum of its proper divisors (188456480).

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

100676800 is a wasteful number, since it uses less digits than its factorization.

100676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 100676800 is about 10033.7829356629. The cubic root of 100676800 is about 465.2036722914.

The spelling of 100676800 in words is "one hundred million, six hundred seventy-six thousand, eight hundred".