105096047616 has 528 divisors, whose sum is σ = 378062886400. Its totient is φ = 28246081536.

The previous prime is 105096047591. The next prime is 105096047621. The reversal of 105096047616 is 616740690501.

105096047616 is a `hidden beast` number, since 1 + 0 + 509 + 60 + 4 + 76 + 16 = 666.

It is a super-2 number, since 2×105096047616² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55930965 + ... + 55932843.

Almost surely, 2^105096047616 is an apocalyptic number.

105096047616 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 105096047616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189031443200).

105096047616 is an abundant number, since it is smaller than the sum of its proper divisors (272966838784).

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

105096047616 is a wasteful number, since it uses less digits than its factorization.

105096047616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 105096047616 in words is "one hundred five billion, ninety-six million, forty-seven thousand, six hundred sixteen".