105633126025 has 24 divisors (see below), whose sum is σ = 151022012544. Its totient is φ = 71793120000.

The previous prime is 105633126013. The next prime is 105633126029. The reversal of 105633126025 is 520621336501.

It is not a de Polignac number, because 105633126025 - 2¹⁵ = 105633093257 is a prime.

It is a super-2 number, since 2×105633126025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105633126029) 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, 2651101 + ... + 2690650.

It is an arithmetic number, because the mean of its divisors is an integer number (6292583856).

Almost surely, 2^105633126025 is an apocalyptic number.

It is an amenable number.

105633126025 is a deficient number, since it is larger than the sum of its proper divisors (45388886519).

105633126025 is a wasteful number, since it uses less digits than its factorization.

105633126025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341881 (or 5341876 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 105633126025 in words is "one hundred five billion, six hundred thirty-three million, one hundred twenty-six thousand, twenty-five".