105022135552 has 72 divisors (see below), whose sum is σ = 217392121856. Its totient is φ = 50595342336.

The previous prime is 105022135529. The next prime is 105022135573. The reversal of 105022135552 is 255531220501.

It is a super-2 number, since 2×105022135552² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 921793 + ... + 1029439.

Almost surely, 2^105022135552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105022135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108696060928).

105022135552 is an abundant number, since it is smaller than the sum of its proper divisors (112369986304).

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

105022135552 is a wasteful number, since it uses less digits than its factorization.

105022135552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107803 (or 107789 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 105022135552 in words is "one hundred five billion, twenty-two million, one hundred thirty-five thousand, five hundred fifty-two".