105785996800 has 120 divisors (see below), whose sum is σ = 285920095032. Its totient is φ = 38467584000.

The previous prime is 105785996777. The next prime is 105785996803. The reversal of 105785996800 is 8699587501.

It is a super-2 number, since 2×105785996800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105785996803) 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 11 ways as a sum of consecutive naturals, for example, 234861 + ... + 516460.

Almost surely, 2^105785996800 is an apocalyptic number.

105785996800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105785996800 is an abundant number, since it is smaller than the sum of its proper divisors (180134098232).

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

105785996800 is an equidigital number, since it uses as much as digits as its factorization.

105785996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751360 (or 751339 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 58.

The spelling of 105785996800 in words is "one hundred five billion, seven hundred eighty-five million, nine hundred ninety-six thousand, eight hundred".