105928392 has 16 divisors (see below), whose sum is σ = 264821040. Its totient is φ = 35309456.

The previous prime is 105928369. The next prime is 105928399. The reversal of 105928392 is 293829501.

It is a super-3 number, since 3×105928392³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105928392.

It is not an unprimeable number, because it can be changed into a prime (105928399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2206818 + ... + 2206865.

It is an arithmetic number, because the mean of its divisors is an integer number (16551315).

Almost surely, 2^105928392 is an apocalyptic number.

105928392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105928392 is an abundant number, since it is smaller than the sum of its proper divisors (158892648).

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

105928392 is a wasteful number, since it uses less digits than its factorization.

105928392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413692 (or 4413688 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 105928392 is about 10292.1519615676. The cubic root of 105928392 is about 473.1557547627.

The spelling of 105928392 in words is "one hundred five million, nine hundred twenty-eight thousand, three hundred ninety-two".