103671841680 has 600 divisors, whose sum is σ = 416667081600. Its totient is φ = 23806379520.

The previous prime is 103671841643. The next prime is 103671841733. The reversal of 103671841680 is 86148176301.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14894041 + ... + 14900999.

It is an arithmetic number, because the mean of its divisors is an integer number (694445136).

Almost surely, 2^103671841680 is an apocalyptic number.

103671841680 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 103671841680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208333540800).

103671841680 is an abundant number, since it is smaller than the sum of its proper divisors (312995239920).

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

103671841680 is a wasteful number, since it uses less digits than its factorization.

103671841680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7025 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 103671841680 in words is "one hundred three billion, six hundred seventy-one million, eight hundred forty-one thousand, six hundred eighty".