105261120 has 280 divisors, whose sum is σ = 389461248. Its totient is φ = 26956800.

The previous prime is 105261113. The next prime is 105261131. The reversal of 105261120 is 21162501.

105261120 is a `hidden beast` number, since 1 + 0 + 52 + 611 + 2 + 0 = 666.

It is a super-2 number, since 2×105261120² = 22159806767308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105261093 and 105261102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 803455 + ... + 803585.

Almost surely, 2^105261120 is an apocalyptic number.

105261120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194730624).

105261120 is an abundant number, since it is smaller than the sum of its proper divisors (284200128).

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

105261120 is a wasteful number, since it uses less digits than its factorization.

105261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105261120 is about 10259.6842056664. The cubic root of 105261120 is about 472.1601486625.

The spelling of 105261120 in words is "one hundred five million, two hundred sixty-one thousand, one hundred twenty".