105949056000 has 352 divisors, whose sum is σ = 361999864512. Its totient is φ = 27485798400.

The previous prime is 105949055977. The next prime is 105949056001. The reversal of 105949056000 is 650949501.

It is a super-2 number, since 2×105949056000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105949056000.

It is not an unprimeable number, because it can be changed into a prime (105949056001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14204272 + ... + 14211728.

It is an arithmetic number, because the mean of its divisors is an integer number (1028408706).

Almost surely, 2^105949056000 is an apocalyptic number.

105949056000 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 105949056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180999932256).

105949056000 is an abundant number, since it is smaller than the sum of its proper divisors (256050808512).

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

105949056000 is an equidigital number, since it uses as much as digits as its factorization.

105949056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 105949056000 in words is "one hundred five billion, nine hundred forty-nine million, fifty-six thousand".