105140880 has 240 divisors, whose sum is σ = 389975040. Its totient is φ = 25224192.

The previous prime is 105140879. The next prime is 105140897. The reversal of 105140880 is 88041501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105140880² = 22109209294348800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439801 + ... + 440039.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^105140880 is an apocalyptic number.

105140880 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 105140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

105140880 is an abundant number, since it is smaller than the sum of its proper divisors (284834160).

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

105140880 is a wasteful number, since it uses less digits than its factorization.

105140880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 105140880 is about 10253.8227018025. The cubic root of 105140880 is about 471.9802969847.

The spelling of 105140880 in words is "one hundred five million, one hundred forty thousand, eight hundred eighty".