105525825306 has 32 divisors (see below), whose sum is σ = 233674564608. Its totient is φ = 31500245040.

The previous prime is 105525825299. The next prime is 105525825407. The reversal of 105525825306 is 603528525501.

It is a super-2 number, since 2×105525825306² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 11927490 + ... + 11936333.

It is an arithmetic number, because the mean of its divisors is an integer number (7302330144).

Almost surely, 2^105525825306 is an apocalyptic number.

105525825306 is an abundant number, since it is smaller than the sum of its proper divisors (128148739302).

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

105525825306 is a wasteful number, since it uses less digits than its factorization.

105525825306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23863906.

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 105525825306 in words is "one hundred five billion, five hundred twenty-five million, eight hundred twenty-five thousand, three hundred six".