105874560 has 256 divisors, whose sum is σ = 409795200. Its totient is φ = 25620480.

The previous prime is 105874541. The next prime is 105874583. The reversal of 105874560 is 65478501.

105874560 is a `hidden beast` number, since 10 + 5 + 87 + 4 + 560 = 666.

It is a super-2 number, since 2×105874560² = 22418844910387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189802 + ... + 190358.

Almost surely, 2^105874560 is an apocalyptic number.

105874560 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 105874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

105874560 is an abundant number, since it is smaller than the sum of its proper divisors (303920640).

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

105874560 is a wasteful number, since it uses less digits than its factorization.

105874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 105874560 is about 10289.5364327068. The cubic root of 105874560 is about 473.0755898008.

The spelling of 105874560 in words is "one hundred five million, eight hundred seventy-four thousand, five hundred sixty".