103385090016 has 480 divisors, whose sum is σ = 340912756800. Its totient is φ = 30516756480.

The previous prime is 103385090009. The next prime is 103385090023. The reversal of 103385090016 is 610090583301.

It is a happy number.

103385090016 is a `hidden beast` number, since 103 + 38 + 509 + 0 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (103385090009) and next prime (103385090023).

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 79 ways as a sum of consecutive naturals, for example, 235501125 + ... + 235501563.

It is an arithmetic number, because the mean of its divisors is an integer number (710234910).

Almost surely, 2^103385090016 is an apocalyptic number.

103385090016 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 103385090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170456378400).

103385090016 is an abundant number, since it is smaller than the sum of its proper divisors (237527666784).

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

103385090016 is a wasteful number, since it uses less digits than its factorization.

103385090016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 103385090016 in words is "one hundred three billion, three hundred eighty-five million, ninety thousand, sixteen".