105789492 has 72 divisors (see below), whose sum is σ = 283206560. Its totient is φ = 33203520.

The previous prime is 105789427. The next prime is 105789493. The reversal of 105789492 is 294987501.

It is a super-2 number, since 2×105789492² = 22382833235236128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105789493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143958 + ... + 144690.

Almost surely, 2^105789492 is an apocalyptic number.

105789492 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 105789492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141603280).

105789492 is an abundant number, since it is smaller than the sum of its proper divisors (177417068).

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

105789492 is a wasteful number, since it uses less digits than its factorization.

105789492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 105789492 is about 10285.4018881131. The cubic root of 105789492 is about 472.9488537295.

The spelling of 105789492 in words is "one hundred five million, seven hundred eighty-nine thousand, four hundred ninety-two".