105193897984 has 256 divisors, whose sum is σ = 259896081600. Its totient is φ = 41548775424.

The previous prime is 105193897969. The next prime is 105193898009. The reversal of 105193897984 is 489798391501.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×105193897984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206667522 + ... + 206668030.

Almost surely, 2^105193897984 is an apocalyptic number.

105193897984 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 105193897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129948040800).

105193897984 is an abundant number, since it is smaller than the sum of its proper divisors (154702183616).

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

105193897984 is an frugal number, since it uses more digits than its factorization.

105193897984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 64.

The spelling of 105193897984 in words is "one hundred five billion, one hundred ninety-three million, eight hundred ninety-seven thousand, nine hundred eighty-four".