103853628 has 18 divisors (see below), whose sum is σ = 262518984. Its totient is φ = 34617864.

The previous prime is 103853623. The next prime is 103853641. The reversal of 103853628 is 826358301.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2884823 = 103853628 / (1 + 0 + 3 + 8 + 5 + 3 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 103853592 and 103853601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103853621) 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 5 ways as a sum of consecutive naturals, for example, 1442376 + ... + 1442447.

It is an arithmetic number, because the mean of its divisors is an integer number (14584388).

Almost surely, 2^103853628 is an apocalyptic number.

103853628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103853628 is an abundant number, since it is smaller than the sum of its proper divisors (158665356).

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

103853628 is a wasteful number, since it uses less digits than its factorization.

103853628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884833 (or 2884828 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 103853628 is about 10190.8600225889. The cubic root of 103853628 is about 470.0462124471.

The spelling of 103853628 in words is "one hundred three million, eight hundred fifty-three thousand, six hundred twenty-eight".