100673683200 has 648 divisors, whose sum is σ = 370086312960. Its totient is φ = 26101555200.

The previous prime is 100673683163. The next prime is 100673683217. The reversal of 100673683200 is 2386376001.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 421228681 + ... + 421228919.

Almost surely, 2^100673683200 is an apocalyptic number.

100673683200 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 100673683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185043156480).

100673683200 is an abundant number, since it is smaller than the sum of its proper divisors (269412629760).

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

100673683200 is a wasteful number, since it uses less digits than its factorization.

100673683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

It can be divided in two parts, 1006736 and 83200, that added together give a square (1089936 = 1044²).

The spelling of 100673683200 in words is "one hundred billion, six hundred seventy-three million, six hundred eighty-three thousand, two hundred".