105410920 has 32 divisors (see below), whose sum is σ = 239283720. Its totient is φ = 41789440.

The previous prime is 105410887. The next prime is 105410939. The reversal of 105410920 is 29014501.

It can be written as a sum of positive squares in 4 ways, for example, as 50324836 + 55086084 = 7094^2 + 7422^2 .

It is a super-2 number, since 2×105410920² = 22222924110492800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105410891 and 105410900.

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 7 ways as a sum of consecutive naturals, for example, 7141 + ... + 16180.

Almost surely, 2^105410920 is an apocalyptic number.

105410920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105410920 is an abundant number, since it is smaller than the sum of its proper divisors (133872800).

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

105410920 is a wasteful number, since it uses less digits than its factorization.

105410920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23445 (or 23441 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 105410920 is about 10266.9820297885. The cubic root of 105410920 is about 472.3840238672.

The spelling of 105410920 in words is "one hundred five million, four hundred ten thousand, nine hundred twenty".