105209730 has 24 divisors (see below), whose sum is σ = 273545532. Its totient is φ = 28055904.

The previous prime is 105209729. The next prime is 105209747. The reversal of 105209730 is 37902501.

It can be written as a sum of positive squares in 2 ways, for example, as 104223681 + 986049 = 10209^2 + 993^2 .

It is a super-2 number, since 2×105209730² = 22138174573345800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105209694 and 105209703.

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 11 ways as a sum of consecutive naturals, for example, 584409 + ... + 584588.

Almost surely, 2^105209730 is an apocalyptic number.

105209730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105209730 is an abundant number, since it is smaller than the sum of its proper divisors (168335802).

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

105209730 is a wasteful number, since it uses less digits than its factorization.

105209730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169010 (or 1169007 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 105209730 is about 10257.1794368627. The cubic root of 105209730 is about 472.0832976852.

The spelling of 105209730 in words is "one hundred five million, two hundred nine thousand, seven hundred thirty".