105929070000 has 400 divisors, whose sum is σ = 376157591040. Its totient is φ = 25515648000.

The previous prime is 105929069957. The next prime is 105929070011. The reversal of 105929070000 is 70929501.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×105929070000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18327111 + ... + 18332889.

Almost surely, 2^105929070000 is an apocalyptic number.

105929070000 is a gapful number since it is divisible by the number (10) 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 105929070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188078795520).

105929070000 is an abundant number, since it is smaller than the sum of its proper divisors (270228521040).

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

105929070000 is a wasteful number, since it uses less digits than its factorization.

105929070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

Adding to 105929070000 its reverse (70929501), we get a palindrome (105999999501).

The spelling of 105929070000 in words is "one hundred five billion, nine hundred twenty-nine million, seventy thousand".