105982672320 has 672 divisors, whose sum is σ = 442401350400. Its totient is φ = 23808411648.

The previous prime is 105982672309. The next prime is 105982672343. The reversal of 105982672320 is 23276289501.

105982672320 is a `hidden beast` number, since 1 + 0 + 598 + 26 + 7 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×105982672320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 24976119 + ... + 24980361.

Almost surely, 2^105982672320 is an apocalyptic number.

105982672320 is a gapful number since it is divisible by the number (10) 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 105982672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221200675200).

105982672320 is an abundant number, since it is smaller than the sum of its proper divisors (336418678080).

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

105982672320 is a wasteful number, since it uses less digits than its factorization.

105982672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 105982672320 in words is "one hundred five billion, nine hundred eighty-two million, six hundred seventy-two thousand, three hundred twenty".