10105550000016 has 160 divisors (see below), whose sum is σ = 28234573014528. Its totient is φ = 3102386257920.

The previous prime is 10105550000003. The next prime is 10105550000089. The reversal of 10105550000016 is 61000005550101.

10105550000016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266949346 + ... + 266987198.

Almost surely, 2^{10105550000016} is an apocalyptic number.

10105550000016 is a gapful number since it is divisible by the number (16) 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 10105550000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14117286507264).

10105550000016 is an abundant number, since it is smaller than the sum of its proper divisors (18129023014512).

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

10105550000016 is a wasteful number, since it uses less digits than its factorization.

10105550000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44889 (or 44883 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10105550000016 its reverse (61000005550101), we get a palindrome (71105555550117).

The spelling of 10105550000016 in words is "ten trillion, one hundred five billion, five hundred fifty million, sixteen", and thus it is an aban number.