103673417064 has 128 divisors (see below), whose sum is σ = 306561024000. Its totient is φ = 28586767104.

The previous prime is 103673417063. The next prime is 103673417123. The reversal of 103673417064 is 460714376301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (103673417063) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17453407 + ... + 17459345.

It is an arithmetic number, because the mean of its divisors is an integer number (2395008000).

Almost surely, 2^103673417064 is an apocalyptic number.

103673417064 is a gapful number since it is divisible by the number (14) 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 103673417064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153280512000).

103673417064 is an abundant number, since it is smaller than the sum of its proper divisors (202887606936).

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

103673417064 is a wasteful number, since it uses less digits than its factorization.

103673417064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9567 (or 9563 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 103673417064 in words is "one hundred three billion, six hundred seventy-three million, four hundred seventeen thousand, sixty-four".