100005505600 has 672 divisors, whose sum is σ = 349926103296. Its totient is φ = 27072921600.

The previous prime is 100005505541. The next prime is 100005505601. The reversal of 100005505600 is 6505500001.

It is a super-2 number, since 2×100005505600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (100005505601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27225364 + ... + 27229036.

It is an arithmetic number, because the mean of its divisors is an integer number (520723368).

Almost surely, 2^100005505600 is an apocalyptic number.

100005505600 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 100005505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174963051648).

100005505600 is an abundant number, since it is smaller than the sum of its proper divisors (249920597696).

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

100005505600 is a wasteful number, since it uses less digits than its factorization.

100005505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 100005505600 in words is "one hundred billion, five million, five hundred five thousand, six hundred".