105231133152 has 360 divisors, whose sum is σ = 334470102120. Its totient is φ = 32440504320.

The previous prime is 105231133121. The next prime is 105231133153. The reversal of 105231133152 is 251331132501.

105231133152 is a `hidden beast` number, since 1 + 0 + 523 + 1 + 133 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×105231133152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105231133153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44195002 + ... + 44197382.

It is an arithmetic number, because the mean of its divisors is an integer number (929083617).

Almost surely, 2^105231133152 is an apocalyptic number.

105231133152 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 105231133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167235051060).

105231133152 is an abundant number, since it is smaller than the sum of its proper divisors (229238968968).

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

105231133152 is a wasteful number, since it uses less digits than its factorization.

105231133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 105231133152 its reverse (251331132501), we get a palindrome (356562265653).

The spelling of 105231133152 in words is "one hundred five billion, two hundred thirty-one million, one hundred thirty-three thousand, one hundred fifty-two".