105050880 has 216 divisors, whose sum is σ = 396985680. Its totient is φ = 25436160.

The previous prime is 105050873. The next prime is 105050887. The reversal of 105050880 is 88050501.

It is an interprime number because it is at equal distance from previous prime (105050873) and next prime (105050887).

It is a super-2 number, since 2×105050880² = 22071374777548800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105050887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126306 + ... + 127134.

Almost surely, 2^105050880 is an apocalyptic number.

105050880 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 105050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198492840).

105050880 is an abundant number, since it is smaller than the sum of its proper divisors (291934800).

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

105050880 is a wasteful number, since it uses less digits than its factorization.

105050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 105050880 is about 10249.4331550579. The cubic root of 105050880 is about 471.8455877169.

The spelling of 105050880 in words is "one hundred five million, fifty thousand, eight hundred eighty".