103513152 has 56 divisors (see below), whose sum is σ = 274722336. Its totient is φ = 34398208.

The previous prime is 103513139. The next prime is 103513171. The reversal of 103513152 is 251315301.

It is a super-4 number, since 4×103513152⁴ (a number of 33 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84448 + ... + 85664.

It is an arithmetic number, because the mean of its divisors is an integer number (4905756).

Almost surely, 2^103513152 is an apocalyptic number.

103513152 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 103513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137361168).

103513152 is an abundant number, since it is smaller than the sum of its proper divisors (171209184).

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

103513152 is a wasteful number, since it uses less digits than its factorization.

103513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 103513152 is about 10174.1413396905. The cubic root of 103513152 is about 469.5319801607.

Adding to 103513152 its reverse (251315301), we get a palindrome (354828453).

The spelling of 103513152 in words is "one hundred three million, five hundred thirteen thousand, one hundred fifty-two".