105782274 has 56 divisors (see below), whose sum is σ = 256247292. Its totient is φ = 32542560.

The previous prime is 105782263. The next prime is 105782293. The reversal of 105782274 is 472287501.

105782274 is a `hidden beast` number, since 10 + 578 + 2 + 2 + 74 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97121025 + 8661249 = 9855^2 + 2943^2 .

It is a super-2 number, since 2×105782274² = 22379778985222152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16164 + ... + 21744.

Almost surely, 2^105782274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105782274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128123646).

105782274 is an abundant number, since it is smaller than the sum of its proper divisors (150465018).

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

105782274 is an equidigital number, since it uses as much as digits as its factorization.

105782274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 105782274 is about 10285.0509964706. The cubic root of 105782274 is about 472.9380970768.

The spelling of 105782274 in words is "one hundred five million, seven hundred eighty-two thousand, two hundred seventy-four".