105260080 has 40 divisors (see below), whose sum is σ = 245823552. Its totient is φ = 41915904.

The previous prime is 105260063. The next prime is 105260081. The reversal of 105260080 is 80062501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105260080² = 22159368883212800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105260081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15817 + ... + 21463.

Almost surely, 2^105260080 is an apocalyptic number.

105260080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105260080 is an abundant number, since it is smaller than the sum of its proper divisors (140563472).

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

105260080 is a wasteful number, since it uses less digits than its factorization.

105260080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 105260080 is about 10259.6335217200. The cubic root of 105260080 is about 472.1585936465.

The spelling of 105260080 in words is "one hundred five million, two hundred sixty thousand, eighty".