105320678400 has 1188 divisors, whose sum is σ = 462692908080. Its totient is φ = 22759833600.

The previous prime is 105320678311. The next prime is 105320678423. The reversal of 105320678400 is 4876023501.

105320678400 is a `hidden beast` number, since 10 + 532 + 0 + 6 + 78 + 40 + 0 = 666.

It is a super-2 number, since 2×105320678400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 214502155 + ... + 214502645.

Almost surely, 2^105320678400 is an apocalyptic number.

105320678400 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 105320678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231346454040).

105320678400 is an abundant number, since it is smaller than the sum of its proper divisors (357372229680).

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

105320678400 is a wasteful number, since it uses less digits than its factorization.

105320678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 105320678400 in words is "one hundred five billion, three hundred twenty million, six hundred seventy-eight thousand, four hundred".