100446193800 has 384 divisors, whose sum is σ = 359107968000. Its totient is φ = 25778995200.

The previous prime is 100446193777. The next prime is 100446193811. The reversal of 100446193800 is 8391644001.

100446193800 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 619 + 38 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32306646 + ... + 32309754.

It is an arithmetic number, because the mean of its divisors is an integer number (935177000).

Almost surely, 2^100446193800 is an apocalyptic number.

100446193800 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 100446193800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179553984000).

100446193800 is an abundant number, since it is smaller than the sum of its proper divisors (258661774200).

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

100446193800 is a wasteful number, since it uses less digits than its factorization.

100446193800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 100446193800 in words is "one hundred billion, four hundred forty-six million, one hundred ninety-three thousand, eight hundred".