10105331325 has 24 divisors (see below), whose sum is σ = 16721141088. Its totient is φ = 5385103680.

The previous prime is 10105331297. The next prime is 10105331333. The reversal of 10105331325 is 52313350101.

It is not a de Polignac number, because 10105331325 - 2⁸ = 10105331069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10105331295 and 10105331304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38314 + ... + 147236.

It is an arithmetic number, because the mean of its divisors is an integer number (696714212).

Almost surely, 2^10105331325 is an apocalyptic number.

10105331325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10105331325 is a deficient number, since it is larger than the sum of its proper divisors (6615809763).

10105331325 is a wasteful number, since it uses less digits than its factorization.

10105331325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110173 (or 110168 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 10105331325 its reverse (52313350101), we get a palindrome (62418681426).

It can be divided in two parts, 1010 and 5331325, that added together give a palindrome (5332335).

The spelling of 10105331325 in words is "ten billion, one hundred five million, three hundred thirty-one thousand, three hundred twenty-five".