105071904000 has 720 divisors, whose sum is σ = 446940189696. Its totient is φ = 24012288000.

The previous prime is 105071903953. The next prime is 105071904001. The reversal of 105071904000 is 409170501.

105071904000 is a `hidden beast` number, since 105 + 0 + 71 + 90 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×105071904000² (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 not an unprimeable number, because it can be changed into a prime (105071904001) 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 79 ways as a sum of consecutive naturals, for example, 18141105 + ... + 18146895.

Almost surely, 2^105071904000 is an apocalyptic number.

105071904000 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 105071904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223470094848).

105071904000 is an abundant number, since it is smaller than the sum of its proper divisors (341868285696).

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

105071904000 is an frugal number, since it uses more digits than its factorization.

105071904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 105071904000 in words is "one hundred five billion, seventy-one million, nine hundred four thousand".