103412633760000 has 540 divisors, whose sum is σ = 381673559287020. Its totient is φ = 26904084480000.

The previous prime is 103412633759999. The next prime is 103412633760011. The reversal of 103412633760000 is 67336214301.

103412633760000 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 12 + 6 + 3 + 37 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 98739358285824 + 4673275474176 = 9936768^2 + 2161776^2 .

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

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 59 ways as a sum of consecutive naturals, for example, 58164216 + ... + 59915784.

Almost surely, 2^{103412633760000} is an apocalyptic number.

103412633760000 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 103412633760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190836779643510).

103412633760000 is an abundant number, since it is smaller than the sum of its proper divisors (278260925527020).

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

103412633760000 is an equidigital number, since it uses as much as digits as its factorization.

103412633760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751652 (or 1751620 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 103412633760000 its reverse (67336214301), we get a palindrome (103479969974301).

The spelling of 103412633760000 in words is "one hundred three trillion, four hundred twelve billion, six hundred thirty-three million, seven hundred sixty thousand".