105802960 has 40 divisors (see below), whose sum is σ = 251999496. Its totient is φ = 41287680.

The previous prime is 105802913. The next prime is 105802973. The reversal of 105802960 is 69208501.

It can be written as a sum of positive squares in 4 ways, for example, as 781456 + 105021504 = 884^2 + 10248^2 .

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

It is a super-2 number, since 2×105802960² = 22388532689523200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12849 + ... + 19408.

Almost surely, 2^105802960 is an apocalyptic number.

105802960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105802960 is an abundant number, since it is smaller than the sum of its proper divisors (146196536).

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

105802960 is a wasteful number, since it uses less digits than its factorization.

105802960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32311 (or 32305 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 105802960 is about 10286.0565816060. The cubic root of 105802960 is about 472.9689231609.

The spelling of 105802960 in words is "one hundred five million, eight hundred two thousand, nine hundred sixty".