105132504960 has 320 divisors, whose sum is σ = 429083946720. Its totient is φ = 24030203904.

The previous prime is 105132504943. The next prime is 105132505067. The reversal of 105132504960 is 69405231501.

105132504960 is a `hidden beast` number, since 1 + 0 + 513 + 2 + 50 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×105132504960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 218022 + ... + 507738.

Almost surely, 2^105132504960 is an apocalyptic number.

105132504960 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 105132504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214541973360).

105132504960 is an abundant number, since it is smaller than the sum of its proper divisors (323951441760).

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

105132504960 is an equidigital number, since it uses as much as digits as its factorization.

105132504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289755 (or 289734 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 105132504960 in words is "one hundred five billion, one hundred thirty-two million, five hundred four thousand, nine hundred sixty".