105096386800 has 120 divisors (see below), whose sum is σ = 271113352992. Its totient is φ = 39008256000.

The previous prime is 105096386797. The next prime is 105096386821. The reversal of 105096386800 is 8683690501.

It is a super-2 number, since 2×105096386800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 373960 + ... + 591640.

Almost surely, 2^105096386800 is an apocalyptic number.

105096386800 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 105096386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135556676496).

105096386800 is an abundant number, since it is smaller than the sum of its proper divisors (166016966192).

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

105096386800 is a wasteful number, since it uses less digits than its factorization.

105096386800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217787 (or 217776 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 105096386800 in words is "one hundred five billion, ninety-six million, three hundred eighty-six thousand, eight hundred".