103675680 has 192 divisors, whose sum is σ = 367960320. Its totient is φ = 27260928.

The previous prime is 103675631. The next prime is 103675703. The reversal of 103675680 is 86576301.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 444844 + ... + 445076.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^103675680 is an apocalyptic number.

103675680 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 103675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

103675680 is an abundant number, since it is smaller than the sum of its proper divisors (264284640).

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

103675680 is a wasteful number, since it uses less digits than its factorization.

103675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 103675680 is about 10182.1255148422. The cubic root of 103675680 is about 469.7775920702. Note that the first 3 decimals are identical.

The spelling of 103675680 in words is "one hundred three million, six hundred seventy-five thousand, six hundred eighty".