105825800076025 has 24 divisors (see below), whose sum is σ = 137284674718464. Its totient is φ = 80838390057600.

The previous prime is 105825800076023. The next prime is 105825800076077. The reversal of 105825800076025 is 520670008528501.

It is not a de Polignac number, because 105825800076025 - 2¹ = 105825800076023 is a prime.

It is a super-2 number, since 2×105825800076025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105825800076025.

It is not an unprimeable number, because it can be changed into a prime (105825800076023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1098299517 + ... + 1098395866.

It is an arithmetic number, because the mean of its divisors is an integer number (5720194779936).

Almost surely, 2^{105825800076025} is an apocalyptic number.

It is an amenable number.

105825800076025 is a deficient number, since it is larger than the sum of its proper divisors (31458874642439).

105825800076025 is a wasteful number, since it uses less digits than its factorization.

105825800076025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196695481 (or 2196695476 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 49.

The spelling of 105825800076025 in words is "one hundred five trillion, eight hundred twenty-five billion, eight hundred million, seventy-six thousand, twenty-five".