103103474006016 has 3456 divisors, whose sum is σ = 390531006028800. Its totient is φ = 26977370112000.

The previous prime is 103103474005991. The next prime is 103103474006047. The reversal of 103103474006016 is 610600474301301.

103103474006016 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 0 + 3 + 4 + 7 + 40 + 0 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 287 ways as a sum of consecutive naturals, for example, 682804463541 + ... + 682804463691.

It is an arithmetic number, because the mean of its divisors is an integer number (113000869800).

Almost surely, 2^{103103474006016} is an apocalyptic number.

103103474006016 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 103103474006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195265503014400).

103103474006016 is an abundant number, since it is smaller than the sum of its proper divisors (287427532022784).

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

103103474006016 is a wasteful number, since it uses less digits than its factorization.

103103474006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 103103474006016 in words is "one hundred three trillion, one hundred three billion, four hundred seventy-four million, six thousand, sixteen".