105662120 has 16 divisors (see below), whose sum is σ = 237739860. Its totient is φ = 42264832.

The previous prime is 105662107. The next prime is 105662147. The reversal of 105662120 is 21266501.

It can be written as a sum of positive squares in 2 ways, for example, as 96864964 + 8797156 = 9842^2 + 2966^2 .

It is a super-2 number, since 2×105662120² = 22328967205788800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1320737 + ... + 1320816.

Almost surely, 2^105662120 is an apocalyptic number.

105662120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105662120 is an abundant number, since it is smaller than the sum of its proper divisors (132077740).

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

105662120 is a wasteful number, since it uses less digits than its factorization.

105662120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641564 (or 2641560 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105662120 is about 10279.2081407081. The cubic root of 105662120 is about 472.7589651964.

The spelling of 105662120 in words is "one hundred five million, six hundred sixty-two thousand, one hundred twenty".