100105500550600 has 96 divisors (see below), whose sum is σ = 234602470195200. Its totient is φ = 39722751129600.

The previous prime is 100105500550597. The next prime is 100105500550631. The reversal of 100105500550600 is 6055005501001.

It is a super-2 number, since 2×100105500550600² (a number of 29 digits) contains 22 as substring.

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, 248490136 + ... + 248892664.

It is an arithmetic number, because the mean of its divisors is an integer number (2443775731200).

Almost surely, 2^{100105500550600} is an apocalyptic number.

100105500550600 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 100105500550600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117301235097600).

100105500550600 is an abundant number, since it is smaller than the sum of its proper divisors (134496969644600).

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

100105500550600 is a wasteful number, since it uses less digits than its factorization.

100105500550600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412463 (or 412454 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 100105500550600 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred fifty thousand, six hundred".