105738740 has 12 divisors (see below), whose sum is σ = 222051396. Its totient is φ = 42295488.

The previous prime is 105738707. The next prime is 105738757. The reversal of 105738740 is 47837501.

It can be written as a sum of positive squares in 2 ways, for example, as 43612816 + 62125924 = 6604^2 + 7882^2 .

It is a super-2 number, since 2×105738740² = 22361362273575200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105738740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2643449 + ... + 2643488.

It is an arithmetic number, because the mean of its divisors is an integer number (18504283).

Almost surely, 2^105738740 is an apocalyptic number.

105738740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105738740 is an abundant number, since it is smaller than the sum of its proper divisors (116312656).

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

105738740 is a wasteful number, since it uses less digits than its factorization.

105738740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286946 (or 5286944 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 105738740 is about 10282.9344060925. The cubic root of 105738740 is about 472.8732099856.

The spelling of 105738740 in words is "one hundred five million, seven hundred thirty-eight thousand, seven hundred forty".