105774138 has 48 divisors (see below), whose sum is σ = 235085760. Its totient is φ = 34360128.

The previous prime is 105774133. The next prime is 105774181. The reversal of 105774138 is 831477501.

105774138 is a `hidden beast` number, since 10 + 577 + 41 + 38 = 666.

It is a super-3 number, since 3×105774138³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105774131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145131 + ... + 145857.

It is an arithmetic number, because the mean of its divisors is an integer number (4897620).

Almost surely, 2^105774138 is an apocalyptic number.

105774138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105774138 is an abundant number, since it is smaller than the sum of its proper divisors (129311622).

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

105774138 is a wasteful number, since it uses less digits than its factorization.

105774138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 105774138 is about 10284.6554633590. The cubic root of 105774138 is about 472.9259717844.

The spelling of 105774138 in words is "one hundred five million, seven hundred seventy-four thousand, one hundred thirty-eight".