105887040 has 168 divisors, whose sum is σ = 391253472. Its totient is φ = 24192000.

The previous prime is 105886883. The next prime is 105887053. The reversal of 105887040 is 40788501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×105887040² = 22424130479923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105886992 and 105887010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45915 + ... + 48165.

Almost surely, 2^105887040 is an apocalyptic number.

105887040 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 105887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195626736).

105887040 is an abundant number, since it is smaller than the sum of its proper divisors (285366432).

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

105887040 is a wasteful number, since it uses less digits than its factorization.

105887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 105887040 is about 10290.1428561512. The cubic root of 105887040 is about 473.0941770529.

The spelling of 105887040 in words is "one hundred five million, eight hundred eighty-seven thousand, forty".