10105500500550 has 864 divisors, whose sum is σ = 34764877405440. Its totient is φ = 2059041254400.

The previous prime is 10105500500539. The next prime is 10105500500551. The reversal of 10105500500550 is 5500500550101.

10105500500550 is a `hidden beast` number, since 1 + 0 + 10 + 5 + 50 + 0 + 50 + 0 + 550 = 666.

It is a super-2 number, since 2×10105500500550² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105500500551) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2737874205 + ... + 2737877895.

Almost surely, 2^{10105500500550} is an apocalyptic number.

10105500500550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105500500550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17382438702720).

10105500500550 is an abundant number, since it is smaller than the sum of its proper divisors (24659376904890).

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

10105500500550 is a wasteful number, since it uses less digits than its factorization.

10105500500550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 10105500500550 in words is "ten trillion, one hundred five billion, five hundred million, five hundred thousand, five hundred fifty".