106040485468800 has 288 divisors, whose sum is σ = 387176216993280. Its totient is φ = 27619847055360.

The previous prime is 106040485468739. The next prime is 106040485468817. The reversal of 106040485468800 is 8864584040601.

It is a happy number.

106040485468800 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 40 + 485 + 46 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106040485468800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41575104 + ... + 44051903.

It is an arithmetic number, because the mean of its divisors is an integer number (1344361864560).

Almost surely, 2^{106040485468800} is an apocalyptic number.

106040485468800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106040485468800 is an abundant number, since it is smaller than the sum of its proper divisors (281135731524480).

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

106040485468800 is a wasteful number, since it uses less digits than its factorization.

106040485468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85627080 (or 85627060 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 106040485468800 in words is "one hundred six trillion, forty billion, four hundred eighty-five million, four hundred sixty-eight thousand, eight hundred".