105779448 has 96 divisors (see below), whose sum is σ = 299660400. Its totient is φ = 33675264.

The previous prime is 105779393. The next prime is 105779449. The reversal of 105779448 is 844977501.

It is a happy number.

It is a super-2 number, since 2×105779448² = 22378583238369408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105779449) 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, 156840 + ... + 157512.

Almost surely, 2^105779448 is an apocalyptic number.

105779448 is a gapful number since it is divisible by the number (18) 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 105779448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149830200).

105779448 is an abundant number, since it is smaller than the sum of its proper divisors (193880952).

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

105779448 is a wasteful number, since it uses less digits than its factorization.

105779448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 105779448 is about 10284.9136116936. The cubic root of 105779448 is about 472.9338854859.

The spelling of 105779448 in words is "one hundred five million, seven hundred seventy-nine thousand, four hundred forty-eight".