101284125 has 32 divisors (see below), whose sum is σ = 169673088. Its totient is φ = 53654400.

The previous prime is 101284093. The next prime is 101284129. The reversal of 101284125 is 521482101.

It is not a de Polignac number, because 101284125 - 2⁵ = 101284093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101284095 and 101284104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101284129) 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 31 ways as a sum of consecutive naturals, for example, 60297 + ... + 61953.

It is an arithmetic number, because the mean of its divisors is an integer number (5302284).

Almost surely, 2^101284125 is an apocalyptic number.

101284125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101284125 is a deficient number, since it is larger than the sum of its proper divisors (68388963).

101284125 is a wasteful number, since it uses less digits than its factorization.

101284125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 101284125 is about 10064.0014407789. The cubic root of 101284125 is about 466.1372326333.

The spelling of 101284125 in words is "one hundred one million, two hundred eighty-four thousand, one hundred twenty-five".