105378535364256 has 1152 divisors, whose sum is σ = 409181295624192. Its totient is φ = 24888287232000.

The previous prime is 105378535364227. The next prime is 105378535364303. The reversal of 105378535364256 is 652463535873501.

105378535364256 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 7 + 8 + 5 + 3 + 536 + 42 + 56 = 666.

It is a super-2 number, since 2×105378535364256² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 105378535364193 and 105378535364202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1592004121 + ... + 1592070311.

It is an arithmetic number, because the mean of its divisors is an integer number (355192096896).

Almost surely, 2^{105378535364256} is an apocalyptic number.

105378535364256 is a gapful number since it is divisible by the number (16) 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 105378535364256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204590647812096).

105378535364256 is an abundant number, since it is smaller than the sum of its proper divisors (303802760259936).

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

105378535364256 is a wasteful number, since it uses less digits than its factorization.

105378535364256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66386 (or 66375 counting only the distinct ones).

The product of its (nonzero) digits is 272160000, while the sum is 63.

The spelling of 105378535364256 in words is "one hundred five trillion, three hundred seventy-eight billion, five hundred thirty-five million, three hundred sixty-four thousand, two hundred fifty-six".