105018738 has 64 divisors (see below), whose sum is σ = 244339200. Its totient is φ = 29756160.

The previous prime is 105018737. The next prime is 105018743. The reversal of 105018738 is 837810501.

It is a super-2 number, since 2×105018738² = 22057870662225288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 105018699 and 105018708.

It is not an unprimeable number, because it can be changed into a prime (105018737) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 103578 + ... + 104586.

It is an arithmetic number, because the mean of its divisors is an integer number (3817800).

Almost surely, 2^105018738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105018738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122169600).

105018738 is an abundant number, since it is smaller than the sum of its proper divisors (139320462).

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

105018738 is a wasteful number, since it uses less digits than its factorization.

105018738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127.

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 105018738 is about 10247.8650459498. The cubic root of 105018738 is about 471.7974599021.

The spelling of 105018738 in words is "one hundred five million, eighteen thousand, seven hundred thirty-eight".