101535125 has 8 divisors (see below), whose sum is σ = 126715992. Its totient is φ = 81228000.

The previous prime is 101535097. The next prime is 101535127. The reversal of 101535125 is 521535101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 391876 + 101143249 = 626^2 + 10057^2 .

It is not a de Polignac number, because 101535125 - 2¹² = 101531029 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101535125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101535127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406016 + ... + 406265.

It is an arithmetic number, because the mean of its divisors is an integer number (15839499).

Almost surely, 2^101535125 is an apocalyptic number.

It is an amenable number.

101535125 is a deficient number, since it is larger than the sum of its proper divisors (25180867).

101535125 is an frugal number, since it uses more digits than its factorization.

101535125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812296 (or 812286 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 101535125 is about 10076.4639134966. The cubic root of 101535125 is about 466.5219718639.

The spelling of 101535125 in words is "one hundred one million, five hundred thirty-five thousand, one hundred twenty-five".