103551846216 has 384 divisors, whose sum is σ = 337222287360. Its totient is φ = 26236224000.

The previous prime is 103551846199. The next prime is 103551846221. The reversal of 103551846216 is 612648155301.

It is a super-3 number, since 3×103551846216³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71562405 + ... + 71563851.

It is an arithmetic number, because the mean of its divisors is an integer number (878183040).

Almost surely, 2^103551846216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103551846216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168611143680).

103551846216 is an abundant number, since it is smaller than the sum of its proper divisors (233670441144).

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

103551846216 is a wasteful number, since it uses less digits than its factorization.

103551846216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 103551846216 in words is "one hundred three billion, five hundred fifty-one million, eight hundred forty-six thousand, two hundred sixteen".