105027840 has 180 divisors, whose sum is σ = 376179804. Its totient is φ = 27979776.

The previous prime is 105027799. The next prime is 105027851. The reversal of 105027840 is 48720501.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 93083904 = 3456^2 + 9648^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×105027840² = 22061694350131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 103174 + ... + 104186.

Almost surely, 2^105027840 is an apocalyptic number.

105027840 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 105027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188089902).

105027840 is an abundant number, since it is smaller than the sum of its proper divisors (271151964).

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

105027840 is an equidigital number, since it uses as much as digits as its factorization.

105027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105027840 is about 10248.3091288271. The cubic root of 105027840 is about 471.8110897758.

The spelling of 105027840 in words is "one hundred five million, twenty-seven thousand, eight hundred forty".