101005425 has 36 divisors (see below), whose sum is σ = 190441680. Its totient is φ = 51032160.

The previous prime is 101005423. The next prime is 101005433. The reversal of 101005425 is 524500101.

It is not a de Polignac number, because 101005425 - 2¹ = 101005423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101005398 and 101005407.

It is not an unprimeable number, because it can be changed into a prime (101005423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7539 + ... + 16088.

Almost surely, 2^101005425 is an apocalyptic number.

101005425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101005425 is a deficient number, since it is larger than the sum of its proper divisors (89436255).

101005425 is a wasteful number, since it uses less digits than its factorization.

101005425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23662 (or 23654 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 101005425 is about 10050.1455213345. The cubic root of 101005425 is about 465.7092886762.

Adding to 101005425 its reverse (524500101), we get a palindrome (625505526).

The spelling of 101005425 in words is "one hundred one million, five thousand, four hundred twenty-five".