105332541252 has 96 divisors (see below), whose sum is σ = 255530311680. Its totient is φ = 33744107520.

The previous prime is 105332541247. The next prime is 105332541271. The reversal of 105332541252 is 252145233501.

It is a super-2 number, since 2×105332541252² (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 31 ways as a sum of consecutive naturals, for example, 45935418 + ... + 45937710.

It is an arithmetic number, because the mean of its divisors is an integer number (2661774080).

Almost surely, 2^105332541252 is an apocalyptic number.

105332541252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105332541252 is an abundant number, since it is smaller than the sum of its proper divisors (150197770428).

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

105332541252 is a wasteful number, since it uses less digits than its factorization.

105332541252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 105332541252 its reverse (252145233501), we get a palindrome (357477774753).

The spelling of 105332541252 in words is "one hundred five billion, three hundred thirty-two million, five hundred forty-one thousand, two hundred fifty-two".