105629000064 has 256 divisors, whose sum is σ = 357394291200. Its totient is φ = 26909245440.

The previous prime is 105629000041. The next prime is 105629000089. The reversal of 105629000064 is 460000926501.

It is a super-2 number, since 2×105629000064² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105628999989 and 105629000034.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 807394 + ... + 929054.

It is an arithmetic number, because the mean of its divisors is an integer number (1396071450).

Almost surely, 2^105629000064 is an apocalyptic number.

105629000064 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 105629000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178697145600).

105629000064 is an abundant number, since it is smaller than the sum of its proper divisors (251765291136).

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

105629000064 is a wasteful number, since it uses less digits than its factorization.

105629000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121721 (or 121709 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 105629000064 its reverse (460000926501), we get a palindrome (565629926565).

The spelling of 105629000064 in words is "one hundred five billion, six hundred twenty-nine million, sixty-four", and thus it is an aban number.