105052132120 has 256 divisors, whose sum is σ = 265530545280. Its totient is φ = 37158912000.

The previous prime is 105052132099. The next prime is 105052132147. The reversal of 105052132120 is 21231250501.

It is a super-2 number, since 2×105052132120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105052132091 and 105052132100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408763032 + ... + 408763288.

Almost surely, 2^105052132120 is an apocalyptic number.

105052132120 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 105052132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132765272640).

105052132120 is an abundant number, since it is smaller than the sum of its proper divisors (160478413160).

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

105052132120 is a wasteful number, since it uses less digits than its factorization.

105052132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 105052132120 its reverse (21231250501), we get a palindrome (126283382621).

The spelling of 105052132120 in words is "one hundred five billion, fifty-two million, one hundred thirty-two thousand, one hundred twenty".