101305725 has 12 divisors (see below), whose sum is σ = 167492256. Its totient is φ = 54029680.

The previous prime is 101305723. The next prime is 101305751. The reversal of 101305725 is 527503101.

It is not a de Polignac number, because 101305725 - 2¹ = 101305723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101305695 and 101305704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101305723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675297 + ... + 675446.

It is an arithmetic number, because the mean of its divisors is an integer number (13957688).

Almost surely, 2^101305725 is an apocalyptic number.

101305725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101305725 is a deficient number, since it is larger than the sum of its proper divisors (66186531).

101305725 is a wasteful number, since it uses less digits than its factorization.

101305725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350756 (or 1350751 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 101305725 is about 10065.0745153725. The cubic root of 101305725 is about 466.1703666464.

Adding to 101305725 its reverse (527503101), we get a palindrome (628808826).

The spelling of 101305725 in words is "one hundred one million, three hundred five thousand, seven hundred twenty-five".