105478343213454 has 128 divisors (see below), whose sum is σ = 243347767603200. Its totient is φ = 33829824631680.

The previous prime is 105478343213443. The next prime is 105478343213461. The reversal of 105478343213454 is 454312343874501.

105478343213454 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 78 + 3 + 432 + 134 + 5 + 4 = 666.

It is a super-2 number, since 2×105478343213454² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 105478343213454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2173308172 + ... + 2173356704.

It is an arithmetic number, because the mean of its divisors is an integer number (1901154434400).

Almost surely, 2^{105478343213454} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105478343213454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121673883801600).

105478343213454 is an abundant number, since it is smaller than the sum of its proper divisors (137869424389746).

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

105478343213454 is a wasteful number, since it uses less digits than its factorization.

105478343213454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56007 (or 56001 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 105478343213454 in words is "one hundred five trillion, four hundred seventy-eight billion, three hundred forty-three million, two hundred thirteen thousand, four hundred fifty-four".