103513453680 has 640 divisors, whose sum is σ = 402670227456. Its totient is φ = 21417984000.

The previous prime is 103513453663. The next prime is 103513453697. The reversal of 103513453680 is 86354315301.

It is an interprime number because it is at equal distance from previous prime (103513453663) and next prime (103513453697).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 368375140 + ... + 368375420.

Almost surely, 2^103513453680 is an apocalyptic number.

103513453680 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 103513453680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201335113728).

103513453680 is an abundant number, since it is smaller than the sum of its proper divisors (299156773776).

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

103513453680 is a wasteful number, since it uses less digits than its factorization.

103513453680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

Adding to 103513453680 its reverse (86354315301), we get a palindrome (189867768981).

The spelling of 103513453680 in words is "one hundred three billion, five hundred thirteen million, four hundred fifty-three thousand, six hundred eighty".