105885144 has 40 divisors (see below), whose sum is σ = 296578260. Its totient is φ = 35294832.

The previous prime is 105885137. The next prime is 105885151. The reversal of 105885144 is 441588501.

It is an interprime number because it is at equal distance from previous prime (105885137) and next prime (105885151).

It is a super-2 number, since 2×105885144² = 22423327439801472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105885099 and 105885108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81054 + ... + 82349.

Almost surely, 2^105885144 is an apocalyptic number.

It is an amenable number.

105885144 is an abundant number, since it is smaller than the sum of its proper divisors (190693116).

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

105885144 is a wasteful number, since it uses less digits than its factorization.

105885144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163421 (or 163408 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 105885144 is about 10290.0507287379. The cubic root of 105885144 is about 473.0913533145.

The spelling of 105885144 in words is "one hundred five million, eight hundred eighty-five thousand, one hundred forty-four".