105386017800 has 384 divisors, whose sum is σ = 378925747200. Its totient is φ = 23732352000.

The previous prime is 105386017699. The next prime is 105386017873. The reversal of 105386017800 is 8710683501.

It is a super-2 number, since 2×105386017800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96595255 + ... + 96596345.

It is an arithmetic number, because the mean of its divisors is an integer number (986785800).

Almost surely, 2^105386017800 is an apocalyptic number.

105386017800 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 105386017800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189462873600).

105386017800 is an abundant number, since it is smaller than the sum of its proper divisors (273539729400).

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

105386017800 is a wasteful number, since it uses less digits than its factorization.

105386017800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 105386017800 in words is "one hundred five billion, three hundred eighty-six million, seventeen thousand, eight hundred".