103608673500696 has 768 divisors, whose sum is σ = 353573131161600. Its totient is φ = 25051330805760.

The previous prime is 103608673500691. The next prime is 103608673500697. The reversal of 103608673500696 is 696005376806301.

It is a super-3 number, since 3×103608673500696³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103608673500691) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3250656216 + ... + 3250688088.

It is an arithmetic number, because the mean of its divisors is an integer number (460381681200).

Almost surely, 2^{103608673500696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103608673500696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176786565580800).

103608673500696 is an abundant number, since it is smaller than the sum of its proper divisors (249964457660904).

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

103608673500696 is a wasteful number, since it uses less digits than its factorization.

103608673500696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31997 (or 31948 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 103608673500696 in words is "one hundred three trillion, six hundred eight billion, six hundred seventy-three million, five hundred thousand, six hundred ninety-six".