103605674480 has 640 divisors, whose sum is σ = 330793113600. Its totient is φ = 29804544000.

The previous prime is 103605674281. The next prime is 103605674483. The reversal of 103605674480 is 84476506301.

It is a super-3 number, since 3×103605674480³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103605674483) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 313007915 + ... + 313008245.

It is an arithmetic number, because the mean of its divisors is an integer number (516864240).

Almost surely, 2^103605674480 is an apocalyptic number.

103605674480 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 103605674480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165396556800).

103605674480 is an abundant number, since it is smaller than the sum of its proper divisors (227187439120).

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

103605674480 is a wasteful number, since it uses less digits than its factorization.

103605674480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 103605674480 in words is "one hundred three billion, six hundred five million, six hundred seventy-four thousand, four hundred eighty".