105189643872 has 48 divisors (see below), whose sum is σ = 306803130480. Its totient is φ = 35063214336.

The previous prime is 105189643831. The next prime is 105189643873. The reversal of 105189643872 is 278346981501.

105189643872 is a `hidden beast` number, since 1 + 0 + 51 + 8 + 96 + 438 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×105189643872³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105189643873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60872773 + ... + 60874500.

It is an arithmetic number, because the mean of its divisors is an integer number (6391731885).

It is a 1-persistent number, because it is pandigital, but 2⋅105189643872 = 210379287744 is not.

Almost surely, 2^105189643872 is an apocalyptic number.

105189643872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105189643872 is an abundant number, since it is smaller than the sum of its proper divisors (201613486608).

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

105189643872 is a wasteful number, since it uses less digits than its factorization.

105189643872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121747292 (or 121747278 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 105189643872 in words is "one hundred five billion, one hundred eighty-nine million, six hundred forty-three thousand, eight hundred seventy-two".