103521152 has 64 divisors (see below), whose sum is σ = 243363840. Its totient is φ = 42923520.

The previous prime is 103521149. The next prime is 103521157. The reversal of 103521152 is 251125301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×103521152² = 21433257822814208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103521157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25913 + ... + 29639.

It is an arithmetic number, because the mean of its divisors is an integer number (3802560).

Almost surely, 2^103521152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121681920).

103521152 is an abundant number, since it is smaller than the sum of its proper divisors (139842688).

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

103521152 is an equidigital number, since it uses as much as digits as its factorization.

103521152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 103521152 is about 10174.5344856657. The cubic root of 103521152 is about 469.5440757544.

Adding to 103521152 its reverse (251125301), we get a palindrome (354646453).

The spelling of 103521152 in words is "one hundred three million, five hundred twenty-one thousand, one hundred fifty-two".