105197448384 has 448 divisors, whose sum is σ = 370556820480. Its totient is φ = 28635586560.

The previous prime is 105197448373. The next prime is 105197448431. The reversal of 105197448384 is 483844791501.

105197448384 is a `hidden beast` number, since 1 + 0 + 5 + 19 + 74 + 483 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×105197448384² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 105197448384.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21322782 + ... + 21327714.

It is an arithmetic number, because the mean of its divisors is an integer number (827135760).

Almost surely, 2^105197448384 is an apocalyptic number.

105197448384 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 105197448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185278410240).

105197448384 is an abundant number, since it is smaller than the sum of its proper divisors (265359372096).

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

105197448384 is a wasteful number, since it uses less digits than its factorization.

105197448384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 105197448384 in words is "one hundred five billion, one hundred ninety-seven million, four hundred forty-eight thousand, three hundred eighty-four".