105542080 has 168 divisors, whose sum is σ = 300215808. Its totient is φ = 35223552.

The previous prime is 105542057. The next prime is 105542117. The reversal of 105542080 is 80245501.

It is a super-2 number, since 2×105542080² = 22278261301452800, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 830977 + ... + 831103.

Almost surely, 2^105542080 is an apocalyptic number.

105542080 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 105542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150107904).

105542080 is an abundant number, since it is smaller than the sum of its proper divisors (194673728).

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

105542080 is a wasteful number, since it uses less digits than its factorization.

105542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 105542080 is about 10273.3675102179. The cubic root of 105542080 is about 472.5798676147.

Adding to 105542080 its reverse (80245501), we get a palindrome (185787581).

The spelling of 105542080 in words is "one hundred five million, five hundred forty-two thousand, eighty".