105753600000 has 1008 divisors, whose sum is σ = 419275570896. Its totient is φ = 26542080000.

The previous prime is 105753599989. The next prime is 105753600037. The reversal of 105753600000 is 6357501.

105753600000 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 53 + 600 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×105753600000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6220799992 + ... + 6220800008.

It is an arithmetic number, because the mean of its divisors is an integer number (415947987).

Almost surely, 2^105753600000 is an apocalyptic number.

105753600000 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 105753600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209637785448).

105753600000 is an abundant number, since it is smaller than the sum of its proper divisors (313521970896).

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

105753600000 is an frugal number, since it uses more digits than its factorization.

105753600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

Adding to 105753600000 its reverse (6357501), we get a palindrome (105759957501).

The spelling of 105753600000 in words is "one hundred five billion, seven hundred fifty-three million, six hundred thousand".