105350660 has 24 divisors (see below), whose sum is σ = 224865816. Its totient is φ = 41448960.

The previous prime is 105350659. The next prime is 105350677. The reversal of 105350660 is 66053501.

It can be written as a sum of positive squares in 4 ways, for example, as 9193024 + 96157636 = 3032^2 + 9806^2 .

It is a super-2 number, since 2×105350660² = 22197523124871200, 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, 41957 + ... + 44396.

It is an arithmetic number, because the mean of its divisors is an integer number (9369409).

Almost surely, 2^105350660 is an apocalyptic number.

105350660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105350660 is an abundant number, since it is smaller than the sum of its proper divisors (119515156).

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

105350660 is a wasteful number, since it uses less digits than its factorization.

105350660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86423 (or 86421 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 105350660 is about 10264.0469601420. The cubic root of 105350660 is about 472.2939911732.

The spelling of 105350660 in words is "one hundred five million, three hundred fifty thousand, six hundred sixty".