105414566400000 has 4368 divisors, whose sum is σ = 469989976216320. Its totient is φ = 23290675200000.

The previous prime is 105414566399983. The next prime is 105414566400061. The reversal of 105414566400000 is 4665414501.

105414566400000 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 4 + 5 + 6 + 640 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×105414566400000² (a number of 29 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 335 ways as a sum of consecutive naturals, for example, 1334361599961 + ... + 1334361600039.

Almost surely, 2^{105414566400000} is an apocalyptic number.

105414566400000 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 105414566400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234994988108160).

105414566400000 is an abundant number, since it is smaller than the sum of its proper divisors (364575409816320).

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

105414566400000 is an frugal number, since it uses more digits than its factorization.

105414566400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 10541456 and 6400000, that added together give a square (16941456 = 4116²).

The spelling of 105414566400000 in words is "one hundred five trillion, four hundred fourteen billion, five hundred sixty-six million, four hundred thousand".