105393254400 has 1404 divisors, whose sum is σ = 472012731216. Its totient is φ = 21941452800.

The previous prime is 105393254387. The next prime is 105393254411. The reversal of 105393254400 is 4452393501.

105393254400 is a `hidden beast` number, since 1 + 0 + 539 + 32 + 54 + 40 + 0 = 666.

It is a super-2 number, since 2×105393254400² (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 a congruent number.

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, 3399782385 + ... + 3399782415.

It is an arithmetic number, because the mean of its divisors is an integer number (336191404).

Almost surely, 2^105393254400 is an apocalyptic number.

105393254400 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 105393254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236006365608).

105393254400 is an abundant number, since it is smaller than the sum of its proper divisors (366619476816).

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

105393254400 is a wasteful number, since it uses less digits than its factorization.

105393254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 105393254400 in words is "one hundred five billion, three hundred ninety-three million, two hundred fifty-four thousand, four hundred".