105509838 has 24 divisors (see below), whose sum is σ = 245472552. Its totient is φ = 30145584.

The previous prime is 105509813. The next prime is 105509857. The reversal of 105509838 is 838905501.

It is a super-2 number, since 2×105509838² = 22264651829572488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105509796 and 105509805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179145 + ... + 179732.

It is an arithmetic number, because the mean of its divisors is an integer number (10228023).

Almost surely, 2^105509838 is an apocalyptic number.

105509838 is an abundant number, since it is smaller than the sum of its proper divisors (139962714).

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

105509838 is a wasteful number, since it uses less digits than its factorization.

105509838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358896 (or 358889 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 105509838 is about 10271.7981872698. The cubic root of 105509838 is about 472.5317399803.

The spelling of 105509838 in words is "one hundred five million, five hundred nine thousand, eight hundred thirty-eight".