103706410226800 has 240 divisors, whose sum is σ = 263418033247200. Its totient is φ = 39127327948800.

The previous prime is 103706410226777. The next prime is 103706410226813. The reversal of 103706410226800 is 8622014607301.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1619444382 + ... + 1619508418.

It is an arithmetic number, because the mean of its divisors is an integer number (1097575138530).

Almost surely, 2^{103706410226800} is an apocalyptic number.

103706410226800 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 103706410226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131709016623600).

103706410226800 is an abundant number, since it is smaller than the sum of its proper divisors (159711623020400).

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

103706410226800 is a wasteful number, since it uses less digits than its factorization.

103706410226800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65004 (or 64993 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 103706410226800 in words is "one hundred three trillion, seven hundred six billion, four hundred ten million, two hundred twenty-six thousand, eight hundred".