103145680 has 160 divisors (see below), whose sum is σ = 285696000. Its totient is φ = 34214400.

The previous prime is 103145671. The next prime is 103145687. The reversal of 103145680 is 86541301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103145687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518221 + ... + 518419.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^103145680 is an apocalyptic number.

103145680 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 103145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

103145680 is an abundant number, since it is smaller than the sum of its proper divisors (182550320).

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

103145680 is a wasteful number, since it uses less digits than its factorization.

103145680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 103145680 is about 10156.0661675670. The cubic root of 103145680 is about 468.9757080721.

Adding to 103145680 its reverse (86541301), we get a palindrome (189686981).

The spelling of 103145680 in words is "one hundred three million, one hundred forty-five thousand, six hundred eighty".