105578980 has 24 divisors (see below), whose sum is σ = 238771512. Its totient is φ = 38982912.

The previous prime is 105578939. The next prime is 105578989. The reversal of 105578980 is 89875501.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 104080804 = 1224^2 + 10202^2 .

It is a super-2 number, since 2×105578980² = 22293842035680800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105578989) by changing a digit.

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, 202777 + ... + 203296.

It is an arithmetic number, because the mean of its divisors is an integer number (9948813).

Almost surely, 2^105578980 is an apocalyptic number.

105578980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105578980 is an abundant number, since it is smaller than the sum of its proper divisors (133192532).

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

105578980 is a wasteful number, since it uses less digits than its factorization.

105578980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406095 (or 406093 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 43.

The square root of 105578980 is about 10275.1632590436. The cubic root of 105578980 is about 472.6349362194.

The spelling of 105578980 in words is "one hundred five million, five hundred seventy-eight thousand, nine hundred eighty".