105234085670784 has 512 divisors, whose sum is σ = 351877373952000. Its totient is φ = 27187921797120.

The previous prime is 105234085670771. The next prime is 105234085670789. The reversal of 105234085670784 is 487076580432501.

It is a super-2 number, since 2×105234085670784² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105234085670789) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115120677 + ... + 116031195.

It is an arithmetic number, because the mean of its divisors is an integer number (687260496000).

Almost surely, 2^{105234085670784} is an apocalyptic number.

105234085670784 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 105234085670784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175938686976000).

105234085670784 is an abundant number, since it is smaller than the sum of its proper divisors (246643288281216).

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

105234085670784 is a wasteful number, since it uses less digits than its factorization.

105234085670784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910666 (or 910654 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 60.

The spelling of 105234085670784 in words is "one hundred five trillion, two hundred thirty-four billion, eighty-five million, six hundred seventy thousand, seven hundred eighty-four".