101382125 has 32 divisors (see below), whose sum is σ = 137985120. Its totient is φ = 73920000.

The previous prime is 101382049. The next prime is 101382143. The reversal of 101382125 is 521283101.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 84971524 + 16410601 = 9218^2 + 4051^2 .

It is not a de Polignac number, because 101382125 - 2⁸ = 101381869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101382125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144275 + ... + 144975.

It is an arithmetic number, because the mean of its divisors is an integer number (4312035).

Almost surely, 2^101382125 is an apocalyptic number.

It is an amenable number.

101382125 is a deficient number, since it is larger than the sum of its proper divisors (36602995).

101382125 is an equidigital number, since it uses as much as digits as its factorization.

101382125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 101382125 is about 10068.8691023372. The cubic root of 101382125 is about 466.2875251012.

It can be divided in two parts, 1013 and 82125, that added together give a palindrome (83138).

The spelling of 101382125 in words is "one hundred one million, three hundred eighty-two thousand, one hundred twenty-five".