105661060 has 24 divisors (see below), whose sum is σ = 222447960. Its totient is φ = 42157824.

The previous prime is 105661043. The next prime is 105661081. The reversal of 105661060 is 60166501.

It can be written as a sum of positive squares in 4 ways, for example, as 32626944 + 73034116 = 5712^2 + 8546^2 .

It is a super-2 number, since 2×105661060² = 22328519200647200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722 + ... + 14638.

It is an arithmetic number, because the mean of its divisors is an integer number (9268665).

Almost surely, 2^105661060 is an apocalyptic number.

105661060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105661060 is an abundant number, since it is smaller than the sum of its proper divisors (116786900).

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

105661060 is a wasteful number, since it uses less digits than its factorization.

105661060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 105661060 is about 10279.1565801869. The cubic root of 105661060 is about 472.7573842887.

The spelling of 105661060 in words is "one hundred five million, six hundred sixty-one thousand, sixty".