105055040 has 56 divisors (see below), whose sum is σ = 251414280. Its totient is φ = 41811968.

The previous prime is 105055037. The next prime is 105055051. The reversal of 105055040 is 40550501.

It can be written as a sum of positive squares in 4 ways, for example, as 3125824 + 101929216 = 1768^2 + 10096^2 .

It is a super-2 number, since 2×105055040² = 22073122858803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73856 + ... + 75264.

Almost surely, 2^105055040 is an apocalyptic number.

105055040 is a gapful number since it is divisible by the number (10) 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 105055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125707140).

105055040 is an abundant number, since it is smaller than the sum of its proper divisors (146359240).

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

105055040 is a wasteful number, since it uses less digits than its factorization.

105055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 105055040 is about 10249.6360911010. The cubic root of 105055040 is about 471.8518159742.

The spelling of 105055040 in words is "one hundred five million, fifty-five thousand, forty".