105739648 has 96 divisors (see below), whose sum is σ = 256048560. Its totient is φ = 43287552.

The previous prime is 105739639. The next prime is 105739649. The reversal of 105739648 is 846937501.

It is a super-2 number, since 2×105739648² = 22361746318327808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105739649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143890 + ... + 144622.

Almost surely, 2^105739648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128024280).

105739648 is an abundant number, since it is smaller than the sum of its proper divisors (150308912).

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

105739648 is an equidigital number, since it uses as much as digits as its factorization.

105739648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 105739648 is about 10282.9785568190. The cubic root of 105739648 is about 472.8745635344.

The spelling of 105739648 in words is "one hundred five million, seven hundred thirty-nine thousand, six hundred forty-eight".