100005449856 has 192 divisors, whose sum is σ = 289285668000. Its totient is φ = 30595448832.

The previous prime is 100005449807. The next prime is 100005449923. The reversal of 100005449856 is 658944500001.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11612080 + ... + 11620688.

Almost surely, 2^100005449856 is an apocalyptic number.

100005449856 is a gapful number since it is divisible by the number (16) 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 100005449856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144642834000).

100005449856 is an abundant number, since it is smaller than the sum of its proper divisors (189280218144).

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

100005449856 is a wasteful number, since it uses less digits than its factorization.

100005449856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8831 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

Adding to 100005449856 its reverse (658944500001), we get a palindrome (758949949857).

The spelling of 100005449856 in words is "one hundred billion, five million, four hundred forty-nine thousand, eight hundred fifty-six".