103611056340 has 768 divisors, whose sum is σ = 363246944256. Its totient is φ = 21764505600.

The previous prime is 103611056321. The next prime is 103611056387. The reversal of 103611056340 is 43650116301.

It is a super-3 number, since 3×103611056340³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103611056298 and 103611056307.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1068155172 + ... + 1068155268.

It is an arithmetic number, because the mean of its divisors is an integer number (472977792).

Almost surely, 2^103611056340 is an apocalyptic number.

103611056340 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 103611056340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181623472128).

103611056340 is an abundant number, since it is smaller than the sum of its proper divisors (259635887916).

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

103611056340 is a wasteful number, since it uses less digits than its factorization.

103611056340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 103611056340 in words is "one hundred three billion, six hundred eleven million, fifty-six thousand, three hundred forty".