105234401214400 has 84 divisors (see below), whose sum is σ = 258945520312648. Its totient is φ = 42093253002240.

The previous prime is 105234401214391. The next prime is 105234401214461. The reversal of 105234401214400 is 4412104432501.

It is a happy number.

It is a super-2 number, since 2×105234401214400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150237787 + ... + 150936613.

Almost surely, 2^{105234401214400} is an apocalyptic number.

105234401214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105234401214400 is an abundant number, since it is smaller than the sum of its proper divisors (153711119098248).

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

105234401214400 is an equidigital number, since it uses as much as digits as its factorization.

105234401214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792966 (or 792951 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 105234401214400 its reverse (4412104432501), we get a palindrome (109646505646901).

The spelling of 105234401214400 in words is "one hundred five trillion, two hundred thirty-four billion, four hundred one million, two hundred fourteen thousand, four hundred".