105378454064160 has 192 divisors, whose sum is σ = 368829978975360. Its totient is φ = 28100510438400.

The previous prime is 105378454064131. The next prime is 105378454064161. The reversal of 105378454064160 is 61460454873501.

105378454064160 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 7 + 84 + 540 + 6 + 4 + 16 + 0 = 666.

It is a super-2 number, since 2×105378454064160² (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 junction number, because it is equal to n+sod(n) for n = 105378454064097 and 105378454064106.

It is not an unprimeable number, because it can be changed into a prime (105378454064161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398876110 + ... + 399140210.

It is an arithmetic number, because the mean of its divisors is an integer number (1920989473830).

Almost surely, 2^{105378454064160} is an apocalyptic number.

105378454064160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105378454064160 is an abundant number, since it is smaller than the sum of its proper divisors (263451524911200).

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

105378454064160 is a wasteful number, since it uses less digits than its factorization.

105378454064160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356488 (or 356474 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 105378454064160 in words is "one hundred five trillion, three hundred seventy-eight billion, four hundred fifty-four million, sixty-four thousand, one hundred sixty".