105985544 has 16 divisors (see below), whose sum is σ = 227112000. Its totient is φ = 45422352.

The previous prime is 105985543. The next prime is 105985547. The reversal of 105985544 is 445589501.

It is a super-2 number, since 2×105985544² = 22465871073951872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105985543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 946244 + ... + 946355.

It is an arithmetic number, because the mean of its divisors is an integer number (14194500).

Almost surely, 2^105985544 is an apocalyptic number.

105985544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105985544 is an abundant number, since it is smaller than the sum of its proper divisors (121126456).

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

105985544 is a wasteful number, since it uses less digits than its factorization.

105985544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892612 (or 1892608 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 41.

The square root of 105985544 is about 10294.9280716283. The cubic root of 105985544 is about 473.2408340486.

The spelling of 105985544 in words is "one hundred five million, nine hundred eighty-five thousand, five hundred forty-four".