105992500 has 30 divisors (see below), whose sum is σ = 231789866. Its totient is φ = 42396000.

The previous prime is 105992461. The next prime is 105992561. The reversal of 105992500 is 5299501.

It can be written as a sum of positive squares in 5 ways, for example, as 36336784 + 69655716 = 6028^2 + 8346^2 .

It is a super-2 number, since 2×105992500² = 22468820112500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 18699 + ... + 23698.

Almost surely, 2^105992500 is an apocalyptic number.

105992500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105992500 is an abundant number, since it is smaller than the sum of its proper divisors (125797366).

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

105992500 is an equidigital number, since it uses as much as digits as its factorization.

105992500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42421 (or 42404 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 105992500 is about 10295.2659023456. The cubic root of 105992500 is about 473.2511870052.

The spelling of 105992500 in words is "one hundred five million, nine hundred ninety-two thousand, five hundred".