105110080 has 56 divisors (see below), whose sum is σ = 251569728. Its totient is φ = 41829888.

The previous prime is 105110051. The next prime is 105110107. The reversal of 105110080 is 80011501.

It is a super-2 number, since 2×105110080² = 22096257835212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71917 + ... + 73363.

Almost surely, 2^105110080 is an apocalyptic number.

105110080 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 105110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125784864).

105110080 is an abundant number, since it is smaller than the sum of its proper divisors (146459648).

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

105110080 is a wasteful number, since it uses less digits than its factorization.

105110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 105110080 is about 10252.3207128923. The cubic root of 105110080 is about 471.9342051351.

Adding to 105110080 its reverse (80011501), we get a palindrome (185121581).

The spelling of 105110080 in words is "one hundred five million, one hundred ten thousand, eighty".