5105673216 has 704 divisors, whose sum is σ = 19116687360. Its totient is φ = 1313832960.

The previous prime is 5105673211. The next prime is 5105673227. The reversal of 5105673216 is 6123765015.

5105673216 is a `hidden beast` number, since 51 + 0 + 567 + 32 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105673211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137991150 + ... + 137991186.

Almost surely, 2^5105673216 is an apocalyptic number.

5105673216 is a gapful number since it is divisible by the number (56) 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 5105673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558343680).

5105673216 is an abundant number, since it is smaller than the sum of its proper divisors (14011014144).

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

5105673216 is a wasteful number, since it uses less digits than its factorization.

5105673216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5105673216 is about 71453.9937022417. The cubic root of 5105673216 is about 1721.9386397784.

The spelling of 5105673216 in words is "five billion, one hundred five million, six hundred seventy-three thousand, two hundred sixteen".