10105790814000 has 480 divisors, whose sum is σ = 40361988286464. Its totient is φ = 2308548211200.

The previous prime is 10105790813999. The next prime is 10105790814001. The reversal of 10105790814000 is 41809750101.

10105790814000 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 579 + 0 + 81 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10105790813999) and next prime (10105790814001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10105790814001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224635509 + ... + 224680491.

Almost surely, 2^{10105790814000} is an apocalyptic number.

10105790814000 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 10105790814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180994143232).

10105790814000 is an abundant number, since it is smaller than the sum of its proper divisors (30256197472464).

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

10105790814000 is a wasteful number, since it uses less digits than its factorization.

10105790814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46802 (or 46783 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 10105790814000 in words is "ten trillion, one hundred five billion, seven hundred ninety million, eight hundred fourteen thousand".