10105364554500 has 192 divisors, whose sum is σ = 29486926909440. Its totient is φ = 2689266096000.

The previous prime is 10105364554423. The next prime is 10105364554511. The reversal of 10105364554500 is 545546350101.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1748632611 + ... + 1748638389.

It is an arithmetic number, because the mean of its divisors is an integer number (153577744320).

Almost surely, 2^{10105364554500} is an apocalyptic number.

10105364554500 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 10105364554500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14743463454720).

10105364554500 is an abundant number, since it is smaller than the sum of its proper divisors (19381562354940).

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

10105364554500 is a wasteful number, since it uses less digits than its factorization.

10105364554500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7979 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 10105364554500 in words is "ten trillion, one hundred five billion, three hundred sixty-four million, five hundred fifty-four thousand, five hundred".