10105190302944 has 384 divisors, whose sum is σ = 30336643169280. Its totient is φ = 2920933171200.

The previous prime is 10105190302931. The next prime is 10105190302969. The reversal of 10105190302944 is 44920309150101.

It is a super-2 number, since 2×10105190302944² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 5871696004 + ... + 5871697724.

It is an arithmetic number, because the mean of its divisors is an integer number (79001674920).

Almost surely, 2^{10105190302944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105190302944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168321584640).

10105190302944 is an abundant number, since it is smaller than the sum of its proper divisors (20231452866336).

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

10105190302944 is a wasteful number, since it uses less digits than its factorization.

10105190302944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 10105190302944 in words is "ten trillion, one hundred five billion, one hundred ninety million, three hundred two thousand, nine hundred forty-four".