105021414400 has 132 divisors (see below), whose sum is σ = 297515860048. Its totient is φ = 36007280640.

The previous prime is 105021414383. The next prime is 105021414401. The reversal of 105021414400 is 4414120501.

It is a super-2 number, since 2×105021414400² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105021414401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113829 + ... + 472228.

Almost surely, 2^105021414400 is an apocalyptic number.

105021414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105021414400 is an abundant number, since it is smaller than the sum of its proper divisors (192494445648).

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

105021414400 is an equidigital number, since it uses as much as digits as its factorization.

105021414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586094 (or 586071 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 105021414400 its reverse (4414120501), we get a palindrome (109435534901).

The spelling of 105021414400 in words is "one hundred five billion, twenty-one million, four hundred fourteen thousand, four hundred".