105209690 has 16 divisors (see below), whose sum is σ = 193997160. Its totient is φ = 41057280.

The previous prime is 105209683. The next prime is 105209693. The reversal of 105209690 is 96902501.

It can be written as a sum of positive squares in 4 ways, for example, as 83484769 + 21724921 = 9137^2 + 4661^2 .

It is a super-2 number, since 2×105209690² = 22138157739792200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105209693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127895 + ... + 128714.

Almost surely, 2^105209690 is an apocalyptic number.

105209690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105209690 is a deficient number, since it is larger than the sum of its proper divisors (88787470).

105209690 is a wasteful number, since it uses less digits than its factorization.

105209690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256657.

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 105209690 is about 10257.1774870088. The cubic root of 105209690 is about 472.0832378576.

The spelling of 105209690 in words is "one hundred five million, two hundred nine thousand, six hundred ninety".