105052167200 has 72 divisors (see below), whose sum is σ = 256793603220. Its totient is φ = 41965977600.

The previous prime is 105052167191. The next prime is 105052167211. The reversal of 105052167200 is 2761250501.

It can be written as a sum of positive squares in 6 ways, for example, as 31916537104 + 73135630096 = 178652^2 + 270436^2 .

It is a super-2 number, since 2×105052167200² (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 11 ways as a sum of consecutive naturals, for example, 529820 + ... + 700580.

Almost surely, 2^105052167200 is an apocalyptic number.

105052167200 is a gapful number since it is divisible by the number (10) 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 105052167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128396801610).

105052167200 is an abundant number, since it is smaller than the sum of its proper divisors (151741436020).

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

105052167200 is a wasteful number, since it uses less digits than its factorization.

105052167200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171550 (or 171537 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The spelling of 105052167200 in words is "one hundred five billion, fifty-two million, one hundred sixty-seven thousand, two hundred".