105380120 has 32 divisors (see below), whose sum is σ = 239969520. Its totient is φ = 41642880.

The previous prime is 105380111. The next prime is 105380131. The reversal of 105380120 is 21083501.

It is a super-2 number, since 2×105380120² = 22209939382428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105380092 and 105380101.

It is a congruent number.

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, 12551 + ... + 19190.

Almost surely, 2^105380120 is an apocalyptic number.

105380120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105380120 is an abundant number, since it is smaller than the sum of its proper divisors (134589400).

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

105380120 is a wasteful number, since it uses less digits than its factorization.

105380120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31835 (or 31831 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 105380120 is about 10265.4819662790. The cubic root of 105380120 is about 472.3380107811.

The spelling of 105380120 in words is "one hundred five million, three hundred eighty thousand, one hundred twenty".