103163903400096 has 5184 divisors, whose sum is σ = 443002351454208. Its totient is φ = 22159982592000.

The previous prime is 103163903400083. The next prime is 103163903400097. The reversal of 103163903400096 is 690004309361301.

103163903400096 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 639 + 0 + 3 + 4 + 0 + 0 + 0 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (103163903400097) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2516192765836 + ... + 2516192765876.

It is an arithmetic number, because the mean of its divisors is an integer number (85455700512).

Almost surely, 2^{103163903400096} is an apocalyptic number.

103163903400096 is a gapful number since it is divisible by the number (16) 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 103163903400096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221501175727104).

103163903400096 is an abundant number, since it is smaller than the sum of its proper divisors (339838448054112).

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

103163903400096 is a wasteful number, since it uses less digits than its factorization.

103163903400096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 103163903400096 in words is "one hundred three trillion, one hundred sixty-three billion, nine hundred three million, four hundred thousand, ninety-six".