103606743660 has 288 divisors, whose sum is σ = 348015128832. Its totient is φ = 22951918080.

The previous prime is 103606743641. The next prime is 103606743673. The reversal of 103606743660 is 66347606301.

It is a super-3 number, since 3×103606743660³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12929055 + ... + 12937065.

It is an arithmetic number, because the mean of its divisors is an integer number (1208385864).

Almost surely, 2^103606743660 is an apocalyptic number.

103606743660 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 103606743660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174007564416).

103606743660 is an abundant number, since it is smaller than the sum of its proper divisors (244408385172).

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

103606743660 is a wasteful number, since it uses less digits than its factorization.

103606743660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8173 (or 8164 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 103606743660 in words is "one hundred three billion, six hundred six million, seven hundred forty-three thousand, six hundred sixty".