105398380800 has 648 divisors, whose sum is σ = 399510020000. Its totient is φ = 26435911680.

The previous prime is 105398380783. The next prime is 105398380889. The reversal of 105398380800 is 8083893501.

105398380800 is a `hidden beast` number, since 1 + 0 + 539 + 8 + 38 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×105398380800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211218951 + ... + 211219449.

Almost surely, 2^105398380800 is an apocalyptic number.

105398380800 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 105398380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199755010000).

105398380800 is an abundant number, since it is smaller than the sum of its proper divisors (294111639200).

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

105398380800 is a wasteful number, since it uses less digits than its factorization.

105398380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 105398380800 in words is "one hundred five billion, three hundred ninety-eight million, three hundred eighty thousand, eight hundred".