105050252202 has 96 divisors (see below), whose sum is σ = 248908158144. Its totient is φ = 29463033600.

The previous prime is 105050252173. The next prime is 105050252221. The reversal of 105050252202 is 202252050501.

It is a super-2 number, since 2×105050252202² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9337993 + ... + 9349235.

It is an arithmetic number, because the mean of its divisors is an integer number (2592793314).

Almost surely, 2^105050252202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105050252202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124454079072).

105050252202 is an abundant number, since it is smaller than the sum of its proper divisors (143857905942).

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

105050252202 is a wasteful number, since it uses less digits than its factorization.

105050252202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11844 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 105050252202 in words is "one hundred five billion, fifty million, two hundred fifty-two thousand, two hundred two".