105319678464 has 1600 divisors, whose sum is σ = 439201889280. Its totient is φ = 24246190080.

The previous prime is 105319678459. The next prime is 105319678469. The reversal of 105319678464 is 464876913501.

105319678464 is a `hidden beast` number, since 1 + 0 + 531 + 9 + 67 + 8 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (105319678459) and next prime (105319678469).

It is a super-2 number, since 2×105319678464² (a number of 23 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 105319678464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105319678469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1785079267 + ... + 1785079325.

Almost surely, 2^105319678464 is an apocalyptic number.

105319678464 is a gapful number since it is divisible by the number (14) 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 105319678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219600944640).

105319678464 is an abundant number, since it is smaller than the sum of its proper divisors (333882210816).

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

105319678464 is a wasteful number, since it uses less digits than its factorization.

105319678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 105319678464 in words is "one hundred five billion, three hundred nineteen million, six hundred seventy-eight thousand, four hundred sixty-four".