101605125 has 32 divisors (see below), whose sum is σ = 174919680. Its totient is φ = 52315200.

The previous prime is 101605109. The next prime is 101605171. The reversal of 101605125 is 521506101.

It is not a de Polignac number, because 101605125 - 2⁴ = 101605109 is a prime.

It is a super-3 number, since 3×101605125³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6204 + ... + 15546.

It is an arithmetic number, because the mean of its divisors is an integer number (5466240).

Almost surely, 2^101605125 is an apocalyptic number.

101605125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101605125 is a deficient number, since it is larger than the sum of its proper divisors (73314555).

101605125 is an equidigital number, since it uses as much as digits as its factorization.

101605125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9390 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 101605125 is about 10079.9367557540. The cubic root of 101605125 is about 466.6291565656.

The spelling of 101605125 in words is "one hundred one million, six hundred five thousand, one hundred twenty-five".