105094886400 has 1584 divisors, whose sum is σ = 468769550400. Its totient is φ = 22976593920.

The previous prime is 105094886387. The next prime is 105094886419. The reversal of 105094886400 is 4688490501.

105094886400 is a `hidden beast` number, since 1 + 0 + 509 + 4 + 88 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×105094886400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 982195147 + ... + 982195253.

Almost surely, 2^105094886400 is an apocalyptic number.

105094886400 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 105094886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234384775200).

105094886400 is an abundant number, since it is smaller than the sum of its proper divisors (363674664000).

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

105094886400 is a wasteful number, since it uses less digits than its factorization.

105094886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 105094886400 in words is "one hundred five billion, ninety-four million, eight hundred eighty-six thousand, four hundred".