105947456 has 28 divisors (see below), whose sum is σ = 211142580. Its totient is φ = 52746240.

The previous prime is 105947431. The next prime is 105947459. The reversal of 105947456 is 654749501.

It can be written as a sum of positive squares in 2 ways, for example, as 32262400 + 73685056 = 5680^2 + 8584^2 .

It is a super-2 number, since 2×105947456² = 22449726865743872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105947459) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11990 + ... + 18858.

Almost surely, 2^105947456 is an apocalyptic number.

105947456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105947456 is a deficient number, since it is larger than the sum of its proper divisors (105195124).

105947456 is an equidigital number, since it uses as much as digits as its factorization.

105947456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7122 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 105947456 is about 10293.0780624651. The cubic root of 105947456 is about 473.1841377740.

The spelling of 105947456 in words is "one hundred five million, nine hundred forty-seven thousand, four hundred fifty-six".