105138242 has 24 divisors (see below), whose sum is σ = 174270096. Its totient is φ = 47177000.

The previous prime is 105138233. The next prime is 105138259. The reversal of 105138242 is 242831501.

It is a super-2 number, since 2×105138242² = 22108099861701128, which contains 22 as substring.

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, 550367 + ... + 550557.

It is an arithmetic number, because the mean of its divisors is an integer number (7261254).

Almost surely, 2^105138242 is an apocalyptic number.

105138242 is a deficient number, since it is larger than the sum of its proper divisors (69131854).

105138242 is a wasteful number, since it uses less digits than its factorization.

105138242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 105138242 is about 10253.6940660427. The cubic root of 105138242 is about 471.9763496002.

Adding to 105138242 its reverse (242831501), we get a palindrome (347969743).

It can be divided in two parts, 1051 and 38242, that added together give a palindrome (39293).

The spelling of 105138242 in words is "one hundred five million, one hundred thirty-eight thousand, two hundred forty-two".