103525403520 has 768 divisors, whose sum is σ = 421678379520. Its totient is φ = 20987658240.

The previous prime is 103525403507. The next prime is 103525403533. The reversal of 103525403520 is 25304525301.

103525403520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103525403507) and next prime (103525403533).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326578402 + ... + 326578718.

It is an arithmetic number, because the mean of its divisors is an integer number (549060390).

Almost surely, 2^103525403520 is an apocalyptic number.

103525403520 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 103525403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210839189760).

103525403520 is an abundant number, since it is smaller than the sum of its proper divisors (318152976000).

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

103525403520 is a wasteful number, since it uses less digits than its factorization.

103525403520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 103525403520 its reverse (25304525301), we get a palindrome (128829928821).

The spelling of 103525403520 in words is "one hundred three billion, five hundred twenty-five million, four hundred three thousand, five hundred twenty".