103656340800 has 252 divisors, whose sum is σ = 370557605340. Its totient is φ = 27481251840.

The previous prime is 103656340793. The next prime is 103656340807. The reversal of 103656340800 is 8043656301.

103656340800 is a `hidden beast` number, since 10 + 3 + 6 + 5 + 634 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103656340793) and next prime (103656340807).

It can be written as a sum of positive squares in 6 ways, for example, as 15176268864 + 88480071936 = 123192^2 + 297456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103656340807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2470396 + ... + 2512004.

Almost surely, 2^103656340800 is an apocalyptic number.

103656340800 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 103656340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185278802670).

103656340800 is an abundant number, since it is smaller than the sum of its proper divisors (266901264540).

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

103656340800 is a wasteful number, since it uses less digits than its factorization.

103656340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41810 (or 41792 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 103656340800 in words is "one hundred three billion, six hundred fifty-six million, three hundred forty thousand, eight hundred".