105525405312 has 32 divisors (see below), whose sum is σ = 280301858880. Its totient is φ = 35175134976.

The previous prime is 105525405289. The next prime is 105525405367. The reversal of 105525405312 is 213504525501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105525405312² (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 3 ways as a sum of consecutive naturals, for example, 137402488 + ... + 137403255.

It is an arithmetic number, because the mean of its divisors is an integer number (8759433090).

Almost surely, 2^105525405312 is an apocalyptic number.

105525405312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105525405312 is an abundant number, since it is smaller than the sum of its proper divisors (174776453568).

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

105525405312 is an equidigital number, since it uses as much as digits as its factorization.

105525405312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274805760 (or 274805748 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 105525405312 in words is "one hundred five billion, five hundred twenty-five million, four hundred five thousand, three hundred twelve".