103885572 has 96 divisors (see below), whose sum is σ = 306173952. Its totient is φ = 26712576.

The previous prime is 103885571. The next prime is 103885583. The reversal of 103885572 is 275588301.

It is a self number, because there is not a number n which added to its sum of digits gives 103885572.

It is not an unprimeable number, because it can be changed into a prime (103885571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31263 + ... + 34425.

It is an arithmetic number, because the mean of its divisors is an integer number (3189312).

Almost surely, 2^103885572 is an apocalyptic number.

103885572 is a gapful number since it is divisible by the number (12) 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 103885572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153086976).

103885572 is an abundant number, since it is smaller than the sum of its proper divisors (202288380).

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

103885572 is a wasteful number, since it uses less digits than its factorization.

103885572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 103885572 is about 10192.4271888496. The cubic root of 103885572 is about 470.0944008359.

The spelling of 103885572 in words is "one hundred three million, eight hundred eighty-five thousand, five hundred seventy-two".