100409349600 has 1296 divisors, whose sum is σ = 435680114688. Its totient is φ = 22495656960.

The previous prime is 100409349589. The next prime is 100409349617. The reversal of 100409349600 is 6943904001.

100409349600 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 9 + 3 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 790624737 + ... + 790624863.

It is an arithmetic number, because the mean of its divisors is an integer number (336172928).

Almost surely, 2^100409349600 is an apocalyptic number.

100409349600 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 100409349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217840057344).

100409349600 is an abundant number, since it is smaller than the sum of its proper divisors (335270765088).

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

100409349600 is a wasteful number, since it uses less digits than its factorization.

100409349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 100409349600 in words is "one hundred billion, four hundred nine million, three hundred forty-nine thousand, six hundred".