105105201532325 has 24 divisors (see below), whose sum is σ = 131237472347520. Its totient is φ = 83501006803200.

The previous prime is 105105201532277. The next prime is 105105201532367. The reversal of 105105201532325 is 523235102501501.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-105105201532325 is a prime.

It is a super-2 number, since 2×105105201532325² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23186660 + ... + 27346509.

It is an arithmetic number, because the mean of its divisors is an integer number (5468228014480).

Almost surely, 2^{105105201532325} is an apocalyptic number.

It is an amenable number.

105105201532325 is a deficient number, since it is larger than the sum of its proper divisors (26132270815195).

105105201532325 is a wasteful number, since it uses less digits than its factorization.

105105201532325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50533757 (or 50533752 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 105105201532325 in words is "one hundred five trillion, one hundred five billion, two hundred one million, five hundred thirty-two thousand, three hundred twenty-five".