105819048 has 80 divisors (see below), whose sum is σ = 300585780. Its totient is φ = 34774272.

The previous prime is 105819019. The next prime is 105819097. The reversal of 105819048 is 840918501.

It can be written as a sum of positive squares in 2 ways, for example, as 101969604 + 3849444 = 10098^2 + 1962^2 .

It is a super-2 number, since 2×105819048² = 22395341839252608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46186 + ... + 48422.

Almost surely, 2^105819048 is an apocalyptic number.

105819048 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 105819048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150292890).

105819048 is an abundant number, since it is smaller than the sum of its proper divisors (194766732).

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

105819048 is a wasteful number, since it uses less digits than its factorization.

105819048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 105819048 is about 10286.8385814107. The cubic root of 105819048 is about 472.9928945709.

The spelling of 105819048 in words is "one hundred five million, eight hundred nineteen thousand, forty-eight".