103895136 has 144 divisors (see below), whose sum is σ = 317011968. Its totient is φ = 33436800.

The previous prime is 103895123. The next prime is 103895137. The reversal of 103895136 is 631598301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103895136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103895137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240841 + ... + 241271.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 2^103895136 is an apocalyptic number.

103895136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103895136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

103895136 is an abundant number, since it is smaller than the sum of its proper divisors (213116832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103895136 is an equidigital number, since it uses as much as digits as its factorization.

103895136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 103895136 is about 10192.8963499096. The cubic root of 103895136 is about 470.1088264672.

The spelling of 103895136 in words is "one hundred three million, eight hundred ninety-five thousand, one hundred thirty-six".