105189372 has 72 divisors (see below), whose sum is σ = 275367456. Its totient is φ = 33830784.

The previous prime is 105189347. The next prime is 105189451. The reversal of 105189372 is 273981501.

105189372 is a `hidden beast` number, since 105 + 189 + 372 = 666.

It is a super-3 number, since 3×105189372³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208873 + ... + 209375.

It is an arithmetic number, because the mean of its divisors is an integer number (3824548).

Almost surely, 2^105189372 is an apocalyptic number.

105189372 is a gapful number since it is divisible by the number (12) 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 105189372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137683728).

105189372 is an abundant number, since it is smaller than the sum of its proper divisors (170178084).

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

105189372 is a wasteful number, since it uses less digits than its factorization.

105189372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 105189372 is about 10256.1870107755. The cubic root of 105189372 is about 472.0528464721.

The spelling of 105189372 in words is "one hundred five million, one hundred eighty-nine thousand, three hundred seventy-two".