105076252112 has 20 divisors (see below), whose sum is σ = 219245641860. Its totient is φ = 48496731648.

The previous prime is 105076252093. The next prime is 105076252163. The reversal of 105076252112 is 211252670501.

It can be written as a sum of positive squares in 2 ways, for example, as 37696552336 + 67379699776 = 194156^2 + 259576^2 .

It is a super-2 number, since 2×105076252112² (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 3 ways as a sum of consecutive naturals, for example, 252586937 + ... + 252587352.

It is an arithmetic number, because the mean of its divisors is an integer number (10962282093).

Almost surely, 2^105076252112 is an apocalyptic number.

It is an amenable number.

105076252112 is an abundant number, since it is smaller than the sum of its proper divisors (114169389748).

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

105076252112 is a wasteful number, since it uses less digits than its factorization.

105076252112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505174310 (or 505174304 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 105076252112 in words is "one hundred five billion, seventy-six million, two hundred fifty-two thousand, one hundred twelve".