105537885 has 16 divisors (see below), whose sum is σ = 169041600. Its totient is φ = 56226560.

The previous prime is 105537877. The next prime is 105537911. The reversal of 105537885 is 588735501.

It is a happy number.

It is not a de Polignac number, because 105537885 - 2³ = 105537877 is a prime.

It is a super-2 number, since 2×105537885² = 22276490340546450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 15 ways as a sum of consecutive naturals, for example, 13141 + ... + 19589.

It is an arithmetic number, because the mean of its divisors is an integer number (10565100).

Almost surely, 2^105537885 is an apocalyptic number.

105537885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105537885 is a deficient number, since it is larger than the sum of its proper divisors (63503715).

105537885 is a wasteful number, since it uses less digits than its factorization.

105537885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548.

The product of its (nonzero) digits is 168000, while the sum is 42.

The square root of 105537885 is about 10273.1633394977. The cubic root of 105537885 is about 472.5736062928.

The spelling of 105537885 in words is "one hundred five million, five hundred thirty-seven thousand, eight hundred eighty-five".