105868665000 has 960 divisors, whose sum is σ = 441046320000. Its totient is φ = 22924944000.

The previous prime is 105868664983. The next prime is 105868665041. The reversal of 105868665000 is 566868501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

105868665000 is a `hidden beast` number, since 1 + 0 + 5 + 86 + 8 + 66 + 500 + 0 = 666.

It is a super-2 number, since 2×105868665000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5572034991 + ... + 5572035009.

It is an arithmetic number, because the mean of its divisors is an integer number (459423250).

Almost surely, 2^105868665000 is an apocalyptic number.

105868665000 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 105868665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220523160000).

105868665000 is an abundant number, since it is smaller than the sum of its proper divisors (335177655000).

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

105868665000 is an frugal number, since it uses more digits than its factorization.

105868665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

105868665000 divided by its sum of digits (45) gives a cube (2352637000 = 1330³).

The spelling of 105868665000 in words is "one hundred five billion, eight hundred sixty-eight million, six hundred sixty-five thousand".