10105988185216 has 256 divisors, whose sum is σ = 26587116000000. Its totient is φ = 3704436817920.

The previous prime is 10105988185211. The next prime is 10105988185253. The reversal of 10105988185216 is 61258188950101.

It is a happy number.

It is a super-2 number, since 2×10105988185216² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105988185211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539005410 + ... + 539024158.

It is an arithmetic number, because the mean of its divisors is an integer number (103855921875).

Almost surely, 2^{10105988185216} is an apocalyptic number.

10105988185216 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 10105988185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293558000000).

10105988185216 is an abundant number, since it is smaller than the sum of its proper divisors (16481127814784).

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

10105988185216 is a wasteful number, since it uses less digits than its factorization.

10105988185216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22015 (or 22003 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 55.

The spelling of 10105988185216 in words is "ten trillion, one hundred five billion, nine hundred eighty-eight million, one hundred eighty-five thousand, two hundred sixteen".