103016713841664 has 1056 divisors, whose sum is σ = 351269130240000. Its totient is φ = 26657710571520.

The previous prime is 103016713841647. The next prime is 103016713841669. The reversal of 103016713841664 is 466148317610301.

It is a super-2 number, since 2×103016713841664² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103016713841669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7358855337 + ... + 7358869335.

Almost surely, 2^{103016713841664} is an apocalyptic number.

103016713841664 is a gapful number since it is divisible by the number (14) 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 103016713841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175634565120000).

103016713841664 is an abundant number, since it is smaller than the sum of its proper divisors (248252416398336).

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

103016713841664 is a wasteful number, since it uses less digits than its factorization.

103016713841664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14169 (or 14144 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 103016713841664 in words is "one hundred three trillion, sixteen billion, seven hundred thirteen million, eight hundred forty-one thousand, six hundred sixty-four".