105451561 has 8 divisors (see below), whose sum is σ = 112910760. Its totient is φ = 98131968.

The previous prime is 105451531. The next prime is 105451601. The reversal of 105451561 is 165154501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50410000 + 55041561 = 7100^2 + 7419^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105451561 - 2⁷ = 105451433 is a prime.

It is a super-2 number, since 2×105451561² = 22240063434673442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105451531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33336 + ... + 36361.

It is an arithmetic number, because the mean of its divisors is an integer number (14113845).

Almost surely, 2^105451561 is an apocalyptic number.

It is an amenable number.

105451561 is a deficient number, since it is larger than the sum of its proper divisors (7459199).

105451561 is an equidigital number, since it uses as much as digits as its factorization.

105451561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69803.

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 105451561 is about 10268.9610477399. The cubic root of 105451561 is about 472.4447250178. Note that the first 3 decimals are identical.

The spelling of 105451561 in words is "one hundred five million, four hundred fifty-one thousand, five hundred sixty-one".