105406120 has 32 divisors (see below), whose sum is σ = 251116200. Its totient is φ = 39682048.

The previous prime is 105406073. The next prime is 105406139. The reversal of 105406120 is 21604501.

It can be written as a sum of positive squares in 4 ways, for example, as 101727396 + 3678724 = 10086^2 + 1918^2 .

It is a super-2 number, since 2×105406120² = 22220900266908800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76825 + ... + 78184.

Almost surely, 2^105406120 is an apocalyptic number.

105406120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105406120 is an abundant number, since it is smaller than the sum of its proper divisors (145710080).

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

105406120 is a wasteful number, since it uses less digits than its factorization.

105406120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155037 (or 155033 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 105406120 is about 10266.7482680740. The cubic root of 105406120 is about 472.3768535863.

The spelling of 105406120 in words is "one hundred five million, four hundred six thousand, one hundred twenty".