103403027952000 has 7168 divisors, whose sum is σ = 504891375206400. Its totient is φ = 20495794176000.

The previous prime is 103403027951989. The next prime is 103403027952073. The reversal of 103403027952000 is 259720304301.

103403027952000 is a `hidden beast` number, since 1 + 0 + 34 + 0 + 30 + 2 + 79 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 1308899087961 + ... + 1308899088039.

It is an arithmetic number, because the mean of its divisors is an integer number (70436854800).

Almost surely, 2^{103403027952000} is an apocalyptic number.

103403027952000 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 103403027952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252445687603200).

103403027952000 is an abundant number, since it is smaller than the sum of its proper divisors (401488347254400).

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

103403027952000 is an equidigital number, since it uses as much as digits as its factorization.

103403027952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 103403027952000 in words is "one hundred three trillion, four hundred three billion, twenty-seven million, nine hundred fifty-two thousand".