103513520 has 160 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 34560000.

The previous prime is 103513519. The next prime is 103513541. The reversal of 103513520 is 25315301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103513492 and 103513501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685445 + ... + 685595.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^103513520 is an apocalyptic number.

103513520 is a gapful number since it is divisible by the number (10) 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 103513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

103513520 is an abundant number, since it is smaller than the sum of its proper divisors (181468240).

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

103513520 is a wasteful number, since it uses less digits than its factorization.

103513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 103513520 is about 10174.1594247387. The cubic root of 103513520 is about 469.5325365717.

Adding to 103513520 its reverse (25315301), we get a palindrome (128828821).

The spelling of 103513520 in words is "one hundred three million, five hundred thirteen thousand, five hundred twenty".