105605451252 has 288 divisors, whose sum is σ = 315653345280. Its totient is φ = 29149735680.

The previous prime is 105605451247. The next prime is 105605451269. The reversal of 105605451252 is 252154506501.

105605451252 is a `hidden beast` number, since 1 + 0 + 5 + 60 + 545 + 1 + 2 + 52 = 666.

It is a super-2 number, since 2×105605451252² (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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389687877 + ... + 389688147.

It is an arithmetic number, because the mean of its divisors is an integer number (1096018560).

Almost surely, 2^105605451252 is an apocalyptic number.

105605451252 is a gapful number since it is divisible by the number (12) 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 105605451252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157826672640).

105605451252 is an abundant number, since it is smaller than the sum of its proper divisors (210047894028).

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

105605451252 is a wasteful number, since it uses less digits than its factorization.

105605451252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 105605451252 its reverse (252154506501), we get a palindrome (357759957753).

The spelling of 105605451252 in words is "one hundred five billion, six hundred five million, four hundred fifty-one thousand, two hundred fifty-two".