103581152 has 24 divisors (see below), whose sum is σ = 208670616. Its totient is φ = 50585472.

The previous prime is 103581151. The next prime is 103581169. The reversal of 103581152 is 251185301.

It is a happy number.

It is a super-3 number, since 3×103581152³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103581151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36263 + ... + 39014.

It is an arithmetic number, because the mean of its divisors is an integer number (8694609).

Almost surely, 2^103581152 is an apocalyptic number.

It is an amenable number.

103581152 is an abundant number, since it is smaller than the sum of its proper divisors (105089464).

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

103581152 is an equidigital number, since it uses as much as digits as its factorization.

103581152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75330 (or 75322 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 103581152 is about 10177.4825963988. The cubic root of 103581152 is about 469.6347728498.

The spelling of 103581152 in words is "one hundred three million, five hundred eighty-one thousand, one hundred fifty-two".