105071221515612 has 96 divisors (see below), whose sum is σ = 268632017579520. Its totient is φ = 31699536549120.

The previous prime is 105071221515599. The next prime is 105071221515677. The reversal of 105071221515612 is 216515122170501.

It is a super-2 number, since 2×105071221515612² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 1129180873 + ... + 1129273919.

It is an arithmetic number, because the mean of its divisors is an integer number (2798250183120).

Almost surely, 2^{105071221515612} is an apocalyptic number.

105071221515612 is a gapful number since it is divisible by the number (12) 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 105071221515612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134316008789760).

105071221515612 is an abundant number, since it is smaller than the sum of its proper divisors (163560796063908).

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

105071221515612 is a wasteful number, since it uses less digits than its factorization.

105071221515612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130651 (or 130649 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 39.

The spelling of 105071221515612 in words is "one hundred five trillion, seventy-one billion, two hundred twenty-one million, five hundred fifteen thousand, six hundred twelve".