105852738 has 16 divisors (see below), whose sum is σ = 212201856. Its totient is φ = 35201520.

The previous prime is 105852737. The next prime is 105852749. The reversal of 105852738 is 837258501.

It is a super-2 number, since 2×105852738² = 22409604284193288, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105852696 and 105852705.

It is not an unprimeable number, because it can be changed into a prime (105852737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17881 + ... + 23052.

It is an arithmetic number, because the mean of its divisors is an integer number (13262616).

Almost surely, 2^105852738 is an apocalyptic number.

105852738 is an abundant number, since it is smaller than the sum of its proper divisors (106349118).

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

105852738 is a wasteful number, since it uses less digits than its factorization.

105852738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41369.

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 105852738 is about 10288.4759804356. The cubic root of 105852738 is about 473.0430854080.

The spelling of 105852738 in words is "one hundred five million, eight hundred fifty-two thousand, seven hundred thirty-eight".