105048576 has 200 divisors, whose sum is σ = 334214100. Its totient is φ = 32735232.

The previous prime is 105048571. The next prime is 105048577. The reversal of 105048576 is 675840501.

105048576 is a `hidden beast` number, since 1 + 0 + 504 + 85 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104530176 + 518400 = 10224^2 + 720^2 .

It is a super-2 number, since 2×105048576² = 22070406639255552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105048576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105048571) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704950 + ... + 705098.

Almost surely, 2^105048576 is an apocalyptic number.

105048576 is a gapful number since it is divisible by the number (16) 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 105048576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167107050).

105048576 is an abundant number, since it is smaller than the sum of its proper divisors (229165524).

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

105048576 is an equidigital number, since it uses as much as digits as its factorization.

105048576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 105048576 is about 10249.3207579820. The cubic root of 105048576 is about 471.8421381498.

The spelling of 105048576 in words is "one hundred five million, forty-eight thousand, five hundred seventy-six".