103650643362816 has 891 divisors, whose sum is σ = 341021329532247. Its totient is φ = 30298346496000.

The previous prime is 103650643362803. The next prime is 103650643362823. The reversal of 103650643362816 is 618263346056301.

The square root of 103650643362816 is 10180896.

It is a perfect power (a square), and thus also a powerful number.

103650643362816 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 5 + 0 + 6 + 4 + 3 + 3 + 628 + 1 + 6 = 666.

It is a super-2 number, since 2×103650643362816² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 333281811301 + ... + 333281811611.

Almost surely, 2^{103650643362816} is an apocalyptic number.

103650643362816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103650643362816 is the 10180896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103650643362816

103650643362816 is an abundant number, since it is smaller than the sum of its proper divisors (237370686169431).

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

103650643362816 is an equidigital number, since it uses as much as digits as its factorization.

103650643362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 103650643362816 in words is "one hundred three trillion, six hundred fifty billion, six hundred forty-three million, three hundred sixty-two thousand, eight hundred sixteen".