10105105550540 has 192 divisors, whose sum is σ = 28666965519360. Its totient is φ = 2889525519360.

The previous prime is 10105105550531. The next prime is 10105105550569. The reversal of 10105105550540 is 4505550150101.

It is a super-2 number, since 2×10105105550540² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105105550497 and 10105105550506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1714946 + ... + 4811574.

It is an arithmetic number, because the mean of its divisors is an integer number (149307112080).

Almost surely, 2^{10105105550540} is an apocalyptic number.

10105105550540 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 10105105550540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333482759680).

10105105550540 is an abundant number, since it is smaller than the sum of its proper divisors (18561859968820).

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

10105105550540 is a wasteful number, since it uses less digits than its factorization.

10105105550540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096832 (or 3096830 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 32.

The spelling of 10105105550540 in words is "ten trillion, one hundred five billion, one hundred five million, five hundred fifty thousand, five hundred forty".