105939792 has 160 divisors (see below), whose sum is σ = 354620160. Its totient is φ = 29652480.

The previous prime is 105939787. The next prime is 105939793. The reversal of 105939792 is 297939501.

It is a happy number.

It is a super-2 number, since 2×105939792² = 22446479058006528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105939793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159942 + ... + 160602.

It is an arithmetic number, because the mean of its divisors is an integer number (2216376).

Almost surely, 2^105939792 is an apocalyptic number.

105939792 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 105939792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177310080).

105939792 is an abundant number, since it is smaller than the sum of its proper divisors (248680368).

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

105939792 is a wasteful number, since it uses less digits than its factorization.

105939792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 105939792 is about 10292.7057667068. The cubic root of 105939792 is about 473.1727278078.

The spelling of 105939792 in words is "one hundred five million, nine hundred thirty-nine thousand, seven hundred ninety-two".