105521355192 has 128 divisors (see below), whose sum is σ = 289339464960. Its totient is φ = 31803985920.

The previous prime is 105521355187. The next prime is 105521355211. The reversal of 105521355192 is 291553125501.

It is a super-2 number, since 2×105521355192² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105521355192.

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, 52056883 + ... + 52058909.

It is an arithmetic number, because the mean of its divisors is an integer number (2260464570).

Almost surely, 2^105521355192 is an apocalyptic number.

105521355192 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 105521355192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144669732480).

105521355192 is an abundant number, since it is smaller than the sum of its proper divisors (183818109768).

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

105521355192 is a wasteful number, since it uses less digits than its factorization.

105521355192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 39.

The spelling of 105521355192 in words is "one hundred five billion, five hundred twenty-one million, three hundred fifty-five thousand, one hundred ninety-two".